Atkin-Lehner |
3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255c |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
175680 |
Modular degree for the optimal curve |
Δ |
269639803125 = 33 · 55 · 74 · 113 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 11- 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1033998,404694834] |
[a1,a2,a3,a4,a6] |
j |
1885935710810898432/4159375 |
j-invariant |
L |
1.2790972628821 |
L(r)(E,1)/r! |
Ω |
0.63954863144106 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
24255m2 121275i1 24255v1 |
Quadratic twists by: -3 5 -7 |