Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
39326l |
Isogeny class |
Conductor |
39326 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-620602111612 = -1 · 22 · 7 · 536 |
Discriminant |
Eigenvalues |
2- 2 0 7- 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1463,42985] |
[a1,a2,a3,a4,a6] |
Generators |
[-1308892:33828657:140608] |
Generators of the group modulo torsion |
j |
-15625/28 |
j-invariant |
L |
13.053740864699 |
L(r)(E,1)/r! |
Ω |
0.81647474538164 |
Real period |
R |
7.9939648706446 |
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 |
14a4 |
Quadratic twists by: 53 |