Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126852k |
Isogeny class |
Conductor |
126852 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-1522224 = -1 · 24 · 32 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 11- 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41,-132] |
[a1,a2,a3,a4,a6] |
Generators |
[74:153:8] |
Generators of the group modulo torsion |
j |
-507904/99 |
j-invariant |
L |
6.3973916538922 |
L(r)(E,1)/r! |
Ω |
0.93163633125195 |
Real period |
R |
3.433416795354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126852a1 |
Quadratic twists by: -31 |