Atkin-Lehner |
2+ 5+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
24310a |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
330653491854400 = 26 · 52 · 114 · 132 · 174 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47695,3924525] |
[a1,a2,a3,a4,a6] |
Generators |
[246:-2775:1] [-1042:23027:8] |
Generators of the group modulo torsion |
j |
11999064653814830409/330653491854400 |
j-invariant |
L |
5.49127853295 |
L(r)(E,1)/r! |
Ω |
0.53966817683991 |
Real period |
R |
2.5438217262989 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121550bm2 |
Quadratic twists by: 5 |