Atkin-Lehner |
3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129285w |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
314945160328305 = 310 · 5 · 137 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39578,-2897904] |
[a1,a2,a3,a4,a6] |
Generators |
[8148:731160:1] |
Generators of the group modulo torsion |
j |
1948441249/89505 |
j-invariant |
L |
4.3818715209054 |
L(r)(E,1)/r! |
Ω |
0.33944574275979 |
Real period |
R |
6.4544504674237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000125206 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43095f1 9945k1 |
Quadratic twists by: -3 13 |