Atkin-Lehner |
2- 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103880v |
Isogeny class |
Conductor |
103880 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1217664 |
Modular degree for the optimal curve |
Δ |
76383613250000 = 24 · 56 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 1 5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4161962,3268099541] |
[a1,a2,a3,a4,a6] |
Generators |
[1177:50:1] |
Generators of the group modulo torsion |
j |
86439797600679936/828125 |
j-invariant |
L |
7.235211066579 |
L(r)(E,1)/r! |
Ω |
0.42681332384553 |
Real period |
R |
1.4126415960542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103880q1 |
Quadratic twists by: -7 |