Atkin-Lehner |
2- 11+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120802l |
Isogeny class |
Conductor |
120802 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-84905444096 = -1 · 28 · 11 · 174 · 192 |
Discriminant |
Eigenvalues |
2- -3 -3 -4 11+ -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5979,179979] |
[a1,a2,a3,a4,a6] |
Generators |
[13:316:1] [-63:582:1] |
Generators of the group modulo torsion |
j |
-282973383873/1016576 |
j-invariant |
L |
6.8203783881515 |
L(r)(E,1)/r! |
Ω |
1.0833014356251 |
Real period |
R |
0.13116498483569 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120802q1 |
Quadratic twists by: 17 |