Atkin-Lehner |
2+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
24272b |
Isogeny class |
Conductor |
24272 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-2911336690688 = -1 · 210 · 375 · 41 |
Discriminant |
Eigenvalues |
2+ -1 -2 0 -1 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8704,-320272] |
[a1,a2,a3,a4,a6] |
j |
-71224645699588/2843102237 |
j-invariant |
L |
0.49311799230654 |
L(r)(E,1)/r! |
Ω |
0.24655899615326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12136b1 97088p1 |
Quadratic twists by: -4 8 |