Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475v |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2147040 |
Modular degree for the optimal curve |
Δ |
-3.4186677352119E+19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 1 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6784075,-6809819750] |
[a1,a2,a3,a4,a6] |
Generators |
[711221656476938902569039168091905074230022:226770866137912611027485658714506396308403348:6969456547083296806261710708684370223] |
Generators of the group modulo torsion |
j |
-12517433425/12393 |
j-invariant |
L |
6.2163775579557 |
L(r)(E,1)/r! |
Ω |
0.04677040257083 |
Real period |
R |
66.456318700075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475co1 62475bo1 |
Quadratic twists by: 5 -7 |