Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
94640bo |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-285505752350000 = -1 · 24 · 55 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -4 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5859,-792466] |
[a1,a2,a3,a4,a6] |
j |
1703936/21875 |
j-invariant |
L |
0.80684735367938 |
L(r)(E,1)/r! |
Ω |
0.26894920158967 |
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 |
23660f1 94640cs1 |
Quadratic twists by: -4 13 |