Atkin-Lehner |
2+ 3+ 7+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258a |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2910019507440859044 = 22 · 328 · 72 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-778066,250766080] |
[a1,a2,a3,a4,a6] |
j |
52092343773375233398057/2910019507440859044 |
j-invariant |
L |
0.50059605135516 |
L(r)(E,1)/r! |
Ω |
0.2502980256776 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774bw4 |
Quadratic twists by: -3 |