Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24255bd |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
2685437803125 = 313 · 55 · 72 · 11 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11+ -3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3738,-39006] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:121:1] |
Generators of the group modulo torsion |
j |
161702969344/75178125 |
j-invariant |
L |
3.2126418219331 |
L(r)(E,1)/r! |
Ω |
0.63853562752721 |
Real period |
R |
1.257816198281 |
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 |
8085z1 121275cz1 24255bl1 |
Quadratic twists by: -3 5 -7 |