Atkin-Lehner |
2- 3+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
47472f |
Isogeny class |
Conductor |
47472 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
38016000 |
Modular degree for the optimal curve |
Δ |
-2.3898876049057E+27 |
Discriminant |
Eigenvalues |
2- 3+ -3 5 5 3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-215329592,2647954093104] |
[a1,a2,a3,a4,a6] |
j |
-269572085631696789200853433/583468653541433962494321 |
j-invariant |
L |
2.4475966948936 |
L(r)(E,1)/r! |
Ω |
0.040793278248535 |
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 |
2967c1 |
Quadratic twists by: -4 |