Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600bl |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
3676531250000 = 24 · 59 · 76 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4083,-38338] |
[a1,a2,a3,a4,a6] |
Generators |
[-1807470:16913798:91125] |
Generators of the group modulo torsion |
j |
2048 |
j-invariant |
L |
7.3986071247004 |
L(r)(E,1)/r! |
Ω |
0.62746200342931 |
Real period |
R |
11.791322955437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9800u1 78400la1 19600bo1 400f1 |
Quadratic twists by: -4 8 5 -7 |