Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10388g |
Isogeny class |
Conductor |
10388 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
99766352 = 24 · 76 · 53 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -4 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-849,9232] |
[a1,a2,a3,a4,a6] |
Generators |
[9:49:1] |
Generators of the group modulo torsion |
j |
35995648/53 |
j-invariant |
L |
2.1257660160076 |
L(r)(E,1)/r! |
Ω |
1.8900981688551 |
Real period |
R |
0.3748951687688 |
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 |
41552bj1 93492z1 212b2 |
Quadratic twists by: -4 -3 -7 |