Atkin-Lehner |
2- 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
107900i |
Isogeny class |
Conductor |
107900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-3506750000 = -1 · 24 · 56 · 132 · 83 |
Discriminant |
Eigenvalues |
2- 3 5+ -1 3 13- -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100,-2875] |
[a1,a2,a3,a4,a6] |
Generators |
[22470:227825:216] |
Generators of the group modulo torsion |
j |
-442368/14027 |
j-invariant |
L |
13.279472832465 |
L(r)(E,1)/r! |
Ω |
0.61208718719192 |
Real period |
R |
5.4238485515078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4316a1 |
Quadratic twists by: 5 |