Atkin-Lehner |
2- 3- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
15276b |
Isogeny class |
Conductor |
15276 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-5746162477824 = -1 · 28 · 36 · 193 · 672 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 -3 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2651,103559] |
[a1,a2,a3,a4,a6] |
Generators |
[50:603:1] |
Generators of the group modulo torsion |
j |
8045426966528/22445947179 |
j-invariant |
L |
6.7211440052759 |
L(r)(E,1)/r! |
Ω |
0.5331441019335 |
Real period |
R |
1.0505514958184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
61104n1 45828g1 |
Quadratic twists by: -4 -3 |