Atkin-Lehner |
2- 5- 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
128650f |
Isogeny class |
Conductor |
128650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
825600 |
Modular degree for the optimal curve |
Δ |
-479076518750000 = -1 · 24 · 58 · 314 · 83 |
Discriminant |
Eigenvalues |
2- -1 5- -5 -3 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12487,911031] |
[a1,a2,a3,a4,a6] |
Generators |
[1:960:1] |
Generators of the group modulo torsion |
j |
551233799375/1226435888 |
j-invariant |
L |
3.2526661958048 |
L(r)(E,1)/r! |
Ω |
0.36474654591954 |
Real period |
R |
1.1147008128799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128650c1 |
Quadratic twists by: 5 |