Atkin-Lehner |
2+ 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
94800o |
Isogeny class |
Conductor |
94800 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1296000 |
Modular degree for the optimal curve |
Δ |
177119320781250000 = 24 · 315 · 510 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 6 1 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-257083,45818588] |
[a1,a2,a3,a4,a6] |
j |
12026117785600/1133563653 |
j-invariant |
L |
4.6821777634757 |
L(r)(E,1)/r! |
Ω |
0.3121451817852 |
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 |
47400q1 94800j1 |
Quadratic twists by: -4 5 |