Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248cl |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5842095946334208 = 221 · 38 · 114 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92257,10108703] |
[a1,a2,a3,a4,a6] |
Generators |
[242:1419:1] |
Generators of the group modulo torsion |
j |
331273336732057/22285827432 |
j-invariant |
L |
9.0882433982096 |
L(r)(E,1)/r! |
Ω |
0.41831735756376 |
Real period |
R |
2.7157142878034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61248h3 15312m4 |
Quadratic twists by: -4 8 |