Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248bn |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-421966381056 = -1 · 219 · 3 · 11 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 1 -5 11+ 3 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17985,-922911] |
[a1,a2,a3,a4,a6] |
Generators |
[485:10208:1] |
Generators of the group modulo torsion |
j |
-2454365649169/1609674 |
j-invariant |
L |
4.5365474910027 |
L(r)(E,1)/r! |
Ω |
0.20612129084722 |
Real period |
R |
1.8340930367398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61248bb1 15312v1 |
Quadratic twists by: -4 8 |