Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248bq |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-235327174120894464 = -1 · 212 · 38 · 710 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-805899,-279440390] |
[a1,a2,a3,a4,a6] |
j |
-19385548183592137/78810594471 |
j-invariant |
L |
2.8674525597256 |
L(r)(E,1)/r! |
Ω |
0.079651459992461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1953e1 124992fg1 10416bh1 |
Quadratic twists by: -4 8 -3 |