Atkin-Lehner |
2+ 5+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
24310c |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
143589600 |
Modular degree for the optimal curve |
Δ |
1.4842757824661E+25 |
Discriminant |
Eigenvalues |
2+ -3 5+ 0 11+ 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-183810909850,30332324863528636] |
[a1,a2,a3,a4,a6] |
j |
686811512775318594048014305790220171129/14842757824661219713975000 |
j-invariant |
L |
0.3286283024816 |
L(r)(E,1)/r! |
Ω |
0.036514255831278 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121550bo1 |
Quadratic twists by: 5 |