Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800bl |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
222720 |
Modular degree for the optimal curve |
Δ |
-63907390771200 = -1 · 212 · 32 · 52 · 375 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8673,497457] |
[a1,a2,a3,a4,a6] |
Generators |
[63:444:1] |
Generators of the group modulo torsion |
j |
-704663648320/624095613 |
j-invariant |
L |
6.277077138692 |
L(r)(E,1)/r! |
Ω |
0.56781007068394 |
Real period |
R |
0.55274443520149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800cg1 88800v1 |
Quadratic twists by: -4 5 |