Atkin-Lehner |
2- 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
31152y |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-5813710848 = -1 · 212 · 37 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -1 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6949,-225325] |
[a1,a2,a3,a4,a6] |
j |
-9061356040192/1419363 |
j-invariant |
L |
1.8301122662452 |
L(r)(E,1)/r! |
Ω |
0.2614446094637 |
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 |
1947d1 124608ck1 93456bp1 |
Quadratic twists by: -4 8 -3 |