Atkin-Lehner |
2+ 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
94800d |
Isogeny class |
Conductor |
94800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
191970000000000 = 210 · 35 · 510 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 3 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20208,888912] |
[a1,a2,a3,a4,a6] |
j |
91267300/19197 |
j-invariant |
L |
2.1430370135239 |
L(r)(E,1)/r! |
Ω |
0.53575921127931 |
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 |
47400e1 94800z1 |
Quadratic twists by: -4 5 |