Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800jm |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-9909043200 = -1 · 221 · 33 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3660,-85360] |
[a1,a2,a3,a4,a6] |
Generators |
[541:12501:1] |
Generators of the group modulo torsion |
j |
-30642435/56 |
j-invariant |
L |
7.1275565927303 |
L(r)(E,1)/r! |
Ω |
0.30686808381657 |
Real period |
R |
5.8066942840736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800b1 25200cv1 100800jl2 100800kb1 |
Quadratic twists by: -4 8 -3 5 |