Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88800j |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1113600 |
Modular degree for the optimal curve |
Δ |
-998552980800000000 = -1 · 212 · 32 · 58 · 375 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -4 -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-216833,-61748463] |
[a1,a2,a3,a4,a6] |
j |
-704663648320/624095613 |
j-invariant |
L |
0.85345284942566 |
L(r)(E,1)/r! |
Ω |
0.10668161130886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800v1 88800cg1 |
Quadratic twists by: -4 5 |