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 |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
23697775487232 = 28 · 37 · 72 · 114 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-132366,-18589644] |
[a1,a2,a3,a4,a6] |
j |
256482757202697818857/23697775487232 |
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 |
81774bw1 |
Quadratic twists by: -3 |