Atkin-Lehner |
2+ 5+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050v |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
41932800 |
Modular degree for the optimal curve |
Δ |
-9.6470986300812E+25 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -6 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-181757567,-1054880796659] |
[a1,a2,a3,a4,a6] |
Generators |
[31179:4841098:1] |
Generators of the group modulo torsion |
j |
-42499242499434592659437889/6174143123251962880000 |
j-invariant |
L |
3.3049863748938 |
L(r)(E,1)/r! |
Ω |
0.020394711215264 |
Real period |
R |
5.4017049968978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999105603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22610l1 |
Quadratic twists by: 5 |