Atkin-Lehner |
2- 3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23562ba |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-15268176 = -1 · 24 · 36 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11+ -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,61,19] |
[a1,a2,a3,a4,a6] |
Generators |
[1:8:1] |
Generators of the group modulo torsion |
j |
34965783/20944 |
j-invariant |
L |
5.604388612355 |
L(r)(E,1)/r! |
Ω |
1.3543202624637 |
Real period |
R |
0.51726950852081 |
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 |
2618b1 |
Quadratic twists by: -3 |