Atkin-Lehner |
2+ 5+ 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24310d |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2159616 |
Modular degree for the optimal curve |
Δ |
1.725991655108E+22 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 11+ 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10012448,10424087552] |
[a1,a2,a3,a4,a6] |
j |
111005526397046706466266889/17259916551079854080000 |
j-invariant |
L |
1.886808554758 |
L(r)(E,1)/r! |
Ω |
0.11792553467238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121550bl1 |
Quadratic twists by: 5 |