Atkin-Lehner |
3+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31407a |
Isogeny class |
Conductor |
31407 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
303696 |
Modular degree for the optimal curve |
Δ |
-139218121515887307 = -1 · 33 · 1910 · 292 |
Discriminant |
Eigenvalues |
1 3+ 2 -1 6 -1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,62446,16943163] |
[a1,a2,a3,a4,a6] |
j |
4392287/22707 |
j-invariant |
L |
1.885075126475 |
L(r)(E,1)/r! |
Ω |
0.2356343908097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94221n1 31407d1 |
Quadratic twists by: -3 -19 |