Atkin-Lehner |
2+ 5+ 23- 101- |
Signs for the Atkin-Lehner involutions |
Class |
116150f |
Isogeny class |
Conductor |
116150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
878592 |
Modular degree for the optimal curve |
Δ |
-4274320000000000 = -1 · 213 · 510 · 232 · 101 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 -2 2 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35500,4050000] |
[a1,a2,a3,a4,a6] |
Generators |
[855:24060:1] |
Generators of the group modulo torsion |
j |
-316670684057281/273556480000 |
j-invariant |
L |
8.352865562582 |
L(r)(E,1)/r! |
Ω |
0.40036320177201 |
Real period |
R |
5.2158049865527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23230k1 |
Quadratic twists by: 5 |