Atkin-Lehner |
3- 5- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
109395w |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
1295001412043625 = 318 · 53 · 112 · 13 · 17 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11+ 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-628929,-191812640] |
[a1,a2,a3,a4,a6] |
Generators |
[25212:145874:27] |
Generators of the group modulo torsion |
j |
37739959861384439569/1776407972625 |
j-invariant |
L |
8.5060644926132 |
L(r)(E,1)/r! |
Ω |
0.16953147622558 |
Real period |
R |
8.3623256498129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023586 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36465f1 |
Quadratic twists by: -3 |