Atkin-Lehner |
3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
75705g |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
57795041249505 = 33 · 5 · 79 · 1032 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 6 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12741,410178] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:972:1] |
Generators of the group modulo torsion |
j |
5668315687/1432215 |
j-invariant |
L |
2.9196629112739 |
L(r)(E,1)/r! |
Ω |
0.58677609363767 |
Real period |
R |
4.975770047137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000601 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75705y1 |
Quadratic twists by: -7 |