Atkin-Lehner |
2- 3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120060f |
Isogeny class |
Conductor |
120060 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2826240 |
Modular degree for the optimal curve |
Δ |
-8.1911052246094E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 1 1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,972447,-231024323] |
[a1,a2,a3,a4,a6] |
j |
8719147482798066944/7022552490234375 |
j-invariant |
L |
1.7078773025901 |
L(r)(E,1)/r! |
Ω |
0.10674233297205 |
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 |
40020j1 |
Quadratic twists by: -3 |