Atkin-Lehner |
2- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7820d |
Isogeny class |
Conductor |
7820 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
936 |
Modular degree for the optimal curve |
Δ |
-782000 = -1 · 24 · 53 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 1 5- 2 -3 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-125,500] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:25:1] |
Generators of the group modulo torsion |
j |
-13608288256/48875 |
j-invariant |
L |
5.348773166264 |
L(r)(E,1)/r! |
Ω |
2.8470361816802 |
Real period |
R |
1.8787162596253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
31280ba1 125120d1 70380bd1 39100i1 |
Quadratic twists by: -4 8 -3 5 |