Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800bd |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
486020509200 = 24 · 311 · 52 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4948,128063] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:513:1] |
Generators of the group modulo torsion |
j |
33499672587520/1215051273 |
j-invariant |
L |
6.627304583613 |
L(r)(E,1)/r! |
Ω |
0.92584780154557 |
Real period |
R |
0.21691190635155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11400v1 91200fb1 68400by1 22800o1 |
Quadratic twists by: -4 8 -3 5 |