Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450df |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
31850496 |
Modular degree for the optimal curve |
Δ |
1.1254258629807E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-693615605,7012773680397] |
[a1,a2,a3,a4,a6] |
Generators |
[-30241:591120:1] |
Generators of the group modulo torsion |
j |
3239908336204082689644289/9880281924658790400 |
j-invariant |
L |
9.4466068564846 |
L(r)(E,1)/r! |
Ω |
0.059465238485602 |
Real period |
R |
2.2063793288364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002117 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150d1 14490bb1 |
Quadratic twists by: -3 5 |