Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560fv |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-38182374604800 = -1 · 221 · 39 · 52 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -1 -1 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-498252,-135370096] |
[a1,a2,a3,a4,a6] |
j |
-71581931663761/199800 |
j-invariant |
L |
0.71878249549802 |
L(r)(E,1)/r! |
Ω |
0.089847753682279 |
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 |
106560ct1 26640bi1 35520br1 |
Quadratic twists by: -4 8 -3 |