Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7308c |
Isogeny class |
Conductor |
7308 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
3223433891664 = 24 · 310 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8076,-265655] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:117:1] |
Generators of the group modulo torsion |
j |
4994190819328/276357501 |
j-invariant |
L |
3.6815324741168 |
L(r)(E,1)/r! |
Ω |
0.50535404192843 |
Real period |
R |
2.428351986044 |
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 |
29232bn1 116928bj1 2436c1 51156n1 |
Quadratic twists by: -4 8 -3 -7 |