Atkin-Lehner |
2+ 3+ 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450f |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4254624 |
Modular degree for the optimal curve |
Δ |
56400720563404800 = 217 · 311 · 52 · 113 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11+ -2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7269170,-7546563660] |
[a1,a2,a3,a4,a6] |
j |
1699175641155647094693265/2256028822536192 |
j-invariant |
L |
0.09194388733333 |
L(r)(E,1)/r! |
Ω |
0.091945054614215 |
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 |
120450ch1 |
Quadratic twists by: 5 |