Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24794g |
Isogeny class |
Conductor |
24794 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
942480 |
Modular degree for the optimal curve |
Δ |
421846897300136 = 23 · 76 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ 0 3 7- 11+ -5 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14237498,-20673969492] |
[a1,a2,a3,a4,a6] |
Generators |
[-1623166315677094358408000361194992885:808805216079921073176928181602481529:745185399502679534557255079927125] |
Generators of the group modulo torsion |
j |
2712917065234165678953/3585639464 |
j-invariant |
L |
4.1809543280952 |
L(r)(E,1)/r! |
Ω |
0.077721492932867 |
Real period |
R |
53.794055805214 |
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 |
506b1 |
Quadratic twists by: -7 |