Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34596l |
Isogeny class |
Conductor |
34596 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-29844363182135472 = -1 · 24 · 37 · 318 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80724,12124937] |
[a1,a2,a3,a4,a6] |
j |
-5619712/2883 |
j-invariant |
L |
4.1573224174614 |
L(r)(E,1)/r! |
Ω |
0.34644353478874 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11532a1 1116d1 |
Quadratic twists by: -3 -31 |