Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
24600bh |
Isogeny class |
Conductor |
24600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-20676300000000 = -1 · 28 · 3 · 58 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 5 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29708,-1992912] |
[a1,a2,a3,a4,a6] |
j |
-28997367760/206763 |
j-invariant |
L |
2.9079370501804 |
L(r)(E,1)/r! |
Ω |
0.18174606563627 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49200l1 73800bj1 24600a1 |
Quadratic twists by: -4 -3 5 |