Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41262m |
Isogeny class |
Conductor |
41262 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-887615236179612252 = -1 · 22 · 36 · 132 · 239 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10304,45327482] |
[a1,a2,a3,a4,a6] |
j |
817400375/5995946268 |
j-invariant |
L |
2.6510757182886 |
L(r)(E,1)/r! |
Ω |
0.22092297651753 |
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 |
123786bi1 1794f1 |
Quadratic twists by: -3 -23 |