Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688i |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
3.9279728752601E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1173468,385705440] |
[a1,a2,a3,a4,a6] |
Generators |
[-7630609:121361456:6859] |
Generators of the group modulo torsion |
j |
5933482010818000/1304188224633 |
j-invariant |
L |
5.1567791115769 |
L(r)(E,1)/r! |
Ω |
0.19297270451625 |
Real period |
R |
13.361421047868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344q1 6384g1 |
Quadratic twists by: -4 -7 |