Atkin-Lehner |
2+ 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656i |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
34493617605888 = 28 · 32 · 710 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 3 -3 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29612,1950768] |
[a1,a2,a3,a4,a6] |
j |
39711952/477 |
j-invariant |
L |
2.6248106900686 |
L(r)(E,1)/r! |
Ω |
0.65620257490884 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62328bn1 124656u1 |
Quadratic twists by: -4 -7 |