Atkin-Lehner |
2+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496c |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
3681146072857673728 = 215 · 78 · 117 |
Discriminant |
Eigenvalues |
2+ -3 0 7+ 11+ -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4067980,3156681136] |
[a1,a2,a3,a4,a6] |
Generators |
[1117:2533:1] |
Generators of the group modulo torsion |
j |
39411764973000/19487171 |
j-invariant |
L |
2.9824648367952 |
L(r)(E,1)/r! |
Ω |
0.24566204093368 |
Real period |
R |
6.0702598282175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496i1 17248c1 34496ba1 |
Quadratic twists by: -4 8 -7 |