Atkin-Lehner |
5- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
42955l |
Isogeny class |
Conductor |
42955 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-491174145055 = -1 · 5 · 117 · 712 |
Discriminant |
Eigenvalues |
-1 2 5- 0 11- -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2725,-65438] |
[a1,a2,a3,a4,a6] |
j |
-1263214441/277255 |
j-invariant |
L |
2.6125156991272 |
L(r)(E,1)/r! |
Ω |
0.32656446239559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3905b1 |
Quadratic twists by: -11 |