Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975u |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147087360 |
Modular degree for the optimal curve |
Δ |
-1.5093097071641E+27 |
Discriminant |
Eigenvalues |
2 3+ 5+ 4 11- 13- 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1183290258,-15777684081457] |
[a1,a2,a3,a4,a6] |
Generators |
[355611685265717277453954580604465398233036704074980526718373577005498589062477616168402650423135846:477860892307249340766061748204550809484288918099647262639952779627639038170498709920994129713284984571:196863937475349317845031898971120342781626440884839220927423178762684333518216028941079545208] |
Generators of the group modulo torsion |
j |
-6619442934477749579776/54525822852558915 |
j-invariant |
L |
15.199610701675 |
L(r)(E,1)/r! |
Ω |
0.012864212469586 |
Real period |
R |
147.69278276468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23595s1 10725d1 |
Quadratic twists by: 5 -11 |