Atkin-Lehner |
2+ 3+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11730c |
Isogeny class |
Conductor |
11730 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-197943750 = -1 · 2 · 34 · 55 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4157,101451] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-136:1] |
Generators of the group modulo torsion |
j |
-7947435547995481/197943750 |
j-invariant |
L |
2.1036793738281 |
L(r)(E,1)/r! |
Ω |
1.6567260714673 |
Real period |
R |
0.12697810519545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93840ch1 35190bn1 58650cc1 |
Quadratic twists by: -4 -3 5 |