Atkin-Lehner |
2+ 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
35350b |
Isogeny class |
Conductor |
35350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
1385720000000000 = 212 · 510 · 73 · 101 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -3 4 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28450,-463500] |
[a1,a2,a3,a4,a6] |
Generators |
[-447:1777:27] |
Generators of the group modulo torsion |
j |
260792040625/141897728 |
j-invariant |
L |
5.7353809585118 |
L(r)(E,1)/r! |
Ω |
0.39220254715333 |
Real period |
R |
7.3117589369832 |
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 |
35350u1 |
Quadratic twists by: 5 |