Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
107604a |
Isogeny class |
Conductor |
107604 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-167510778843034368 = -1 · 28 · 39 · 74 · 614 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 -3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-952560,-358379532] |
[a1,a2,a3,a4,a6] |
Generators |
[104153478:10247546709:10648] |
Generators of the group modulo torsion |
j |
-7900913664000/13845841 |
j-invariant |
L |
6.5370703313781 |
L(r)(E,1)/r! |
Ω |
0.0764013196517 |
Real period |
R |
10.695283693621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107604b1 107604e1 |
Quadratic twists by: -3 -7 |