Atkin-Lehner |
2+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
82400i |
Isogeny class |
Conductor |
82400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2575000000 = -1 · 26 · 58 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 -2 -3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-125,-2500] |
[a1,a2,a3,a4,a6] |
Generators |
[25:100:1] |
Generators of the group modulo torsion |
j |
-8640/103 |
j-invariant |
L |
3.8900887979385 |
L(r)(E,1)/r! |
Ω |
0.61503628418876 |
Real period |
R |
1.054162411376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82400m1 82400k1 |
Quadratic twists by: -4 5 |