Atkin-Lehner |
2- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55100h |
Isogeny class |
Conductor |
55100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
237188281250000 = 24 · 511 · 192 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -4 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30633,1936262] |
[a1,a2,a3,a4,a6] |
Generators |
[634:57:8] |
Generators of the group modulo torsion |
j |
12716467142656/948753125 |
j-invariant |
L |
10.04637336665 |
L(r)(E,1)/r! |
Ω |
0.54501942722203 |
Real period |
R |
4.6082638823963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11020f1 |
Quadratic twists by: 5 |