Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470ea |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
13620071850577920 = 212 · 39 · 5 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-62393,2126297] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:2796:1] |
Generators of the group modulo torsion |
j |
7633736209/3870720 |
j-invariant |
L |
10.71492939771 |
L(r)(E,1)/r! |
Ω |
0.35099617540984 |
Real period |
R |
1.2719665420598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001322 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490bm1 630f1 |
Quadratic twists by: -3 13 |