Atkin-Lehner |
2- 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75900c |
Isogeny class |
Conductor |
75900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
792000 |
Modular degree for the optimal curve |
Δ |
-38885467500000000 = -1 · 28 · 35 · 510 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ 5 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-358333,83224537] |
[a1,a2,a3,a4,a6] |
Generators |
[336:803:1] |
Generators of the group modulo torsion |
j |
-2035379200000/15554187 |
j-invariant |
L |
6.1428837738056 |
L(r)(E,1)/r! |
Ω |
0.36590823841874 |
Real period |
R |
4.1970111146425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75900bf1 |
Quadratic twists by: 5 |