Atkin-Lehner |
2+ 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23562p |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-316600897536 = -1 · 212 · 310 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11- -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2259,-48843] |
[a1,a2,a3,a4,a6] |
j |
-1749254553649/434294784 |
j-invariant |
L |
1.3670997749078 |
L(r)(E,1)/r! |
Ω |
0.34177494372696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7854q1 |
Quadratic twists by: -3 |