Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800qb |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
4514807808000 = 218 · 39 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10380,394000] |
[a1,a2,a3,a4,a6] |
Generators |
[5:585:1] |
Generators of the group modulo torsion |
j |
5177717/189 |
j-invariant |
L |
8.1162229716915 |
L(r)(E,1)/r! |
Ω |
0.76883286225217 |
Real period |
R |
2.6391376332486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800hi1 25200fw1 33600hp1 100800pc1 |
Quadratic twists by: -4 8 -3 5 |