Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248ch |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
93034971286992 = 24 · 313 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-204420,-35571013] |
[a1,a2,a3,a4,a6] |
Generators |
[14403:72352:27] |
Generators of the group modulo torsion |
j |
80992788772864000/7976249253 |
j-invariant |
L |
4.8857258754145 |
L(r)(E,1)/r! |
Ω |
0.2245283966228 |
Real period |
R |
7.253315466109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7812f1 124992go1 10416be1 |
Quadratic twists by: -4 8 -3 |