Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101200i |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
80011250000 = 24 · 57 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11- 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21950,-1251625] |
[a1,a2,a3,a4,a6] |
Generators |
[2087715:21232450:9261] |
Generators of the group modulo torsion |
j |
4678291482624/320045 |
j-invariant |
L |
6.7868226664641 |
L(r)(E,1)/r! |
Ω |
0.39223171443835 |
Real period |
R |
8.6515475548446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50600a1 20240e1 |
Quadratic twists by: -4 5 |