Atkin-Lehner |
2+ 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5208a |
Isogeny class |
Conductor |
5208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
71437427712 = 210 · 38 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 6 -6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3760,-86564] |
[a1,a2,a3,a4,a6] |
Generators |
[90:544:1] |
Generators of the group modulo torsion |
j |
5742523604164/69763113 |
j-invariant |
L |
2.3114333342347 |
L(r)(E,1)/r! |
Ω |
0.6101154085985 |
Real period |
R |
3.788518207636 |
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 |
10416n1 41664bk1 15624t1 36456q1 |
Quadratic twists by: -4 8 -3 -7 |