Atkin-Lehner |
2- 3- 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
70452h |
Isogeny class |
Conductor |
70452 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-616314096 = -1 · 24 · 39 · 19 · 103 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 3 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21,-1195] |
[a1,a2,a3,a4,a6] |
Generators |
[13:27:1] |
Generators of the group modulo torsion |
j |
-87808/52839 |
j-invariant |
L |
5.6296888304329 |
L(r)(E,1)/r! |
Ω |
0.73133626284542 |
Real period |
R |
0.64148430708807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23484a1 |
Quadratic twists by: -3 |