Atkin-Lehner |
5+ 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24605b |
Isogeny class |
Conductor |
24605 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53136000 |
Modular degree for the optimal curve |
Δ |
-9.308661910781E+30 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- 1 -3 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-933789596,-147201778266699] |
[a1,a2,a3,a4,a6] |
Generators |
[130633946880233167760547330965084:-1128747334658139169985503401322744755:1749744315132436189134784] |
Generators of the group modulo torsion |
j |
-90047322758940602467636646170624/9308661910780955456024169921875 |
j-invariant |
L |
7.7352814681555 |
L(r)(E,1)/r! |
Ω |
0.010210142915424 |
Real period |
R |
47.35047254132 |
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 |
123025i1 |
Quadratic twists by: 5 |