Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800py |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-11985978654720000 = -1 · 229 · 36 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 6 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103500,13856400] |
[a1,a2,a3,a4,a6] |
Generators |
[370:5120:1] |
Generators of the group modulo torsion |
j |
-1026590625/100352 |
j-invariant |
L |
8.5771446196914 |
L(r)(E,1)/r! |
Ω |
0.3918698790202 |
Real period |
R |
0.91198901575199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800hf1 25200fv1 11200dj1 100800mn1 |
Quadratic twists by: -4 8 -3 5 |