Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74360f |
Isogeny class |
Conductor |
74360 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-3.9129314584813E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 11- 13+ -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-943921,-463552779] |
[a1,a2,a3,a4,a6] |
j |
-75271580947456/31666652875 |
j-invariant |
L |
4.2022259523288 |
L(r)(E,1)/r! |
Ω |
0.075039749641967 |
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 |
5720g1 |
Quadratic twists by: 13 |