Atkin-Lehner |
2+ 3- 7+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258j |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-27863345664 = -1 · 29 · 32 · 7 · 114 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11+ -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5314,-149740] |
[a1,a2,a3,a4,a6] |
j |
-16590935511882649/27863345664 |
j-invariant |
L |
1.1182534269969 |
L(r)(E,1)/r! |
Ω |
0.27956335674922 |
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 |
81774by1 |
Quadratic twists by: -3 |