Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
24402k |
Isogeny class |
Conductor |
24402 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
2.3155055253621E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1488450,-659622764] |
[a1,a2,a3,a4,a6] |
j |
3099829477625435017/196814722212864 |
j-invariant |
L |
2.4700958832739 |
L(r)(E,1)/r! |
Ω |
0.13722754907077 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73206bk1 3486b1 |
Quadratic twists by: -3 -7 |