Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475q |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-6152445263671875 = -1 · 32 · 511 · 77 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -2 3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-43283,-5109532] |
[a1,a2,a3,a4,a6] |
Generators |
[2266:18371:8] |
Generators of the group modulo torsion |
j |
-4878401536/3346875 |
j-invariant |
L |
4.2514532274996 |
L(r)(E,1)/r! |
Ω |
0.16060501157141 |
Real period |
R |
3.3089356819125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12495i1 8925w1 |
Quadratic twists by: 5 -7 |