Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600ck |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
200201625000000 = 26 · 36 · 59 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-824625,288225000] |
[a1,a2,a3,a4,a6] |
j |
680543142336/2197 |
j-invariant |
L |
2.9578944550572 |
L(r)(E,1)/r! |
Ω |
0.49298241959537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600cl1 10400bg1 93600es1 |
Quadratic twists by: -4 -3 5 |