Atkin-Lehner |
2+ 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4830l |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-19338934824115200 = -1 · 210 · 36 · 52 · 7 · 236 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-127124,18674066] |
[a1,a2,a3,a4,a6] |
j |
-227196402372228188089/19338934824115200 |
j-invariant |
L |
1.510780206122 |
L(r)(E,1)/r! |
Ω |
0.3776950515305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
38640bd1 14490ca1 24150bl1 33810t1 |
Quadratic twists by: -4 -3 5 -7 |