Atkin-Lehner |
2+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31280j |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
30272 |
Modular degree for the optimal curve |
Δ |
-305468750000 = -1 · 24 · 511 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 1 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6375,-199852] |
[a1,a2,a3,a4,a6] |
j |
-1791069422688256/19091796875 |
j-invariant |
L |
2.9367069783356 |
L(r)(E,1)/r! |
Ω |
0.26697336166706 |
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 |
15640d1 125120cg1 |
Quadratic twists by: -4 8 |