Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200ds |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-4432320000000 = -1 · 212 · 36 · 57 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1367,99863] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:300:1] |
Generators of the group modulo torsion |
j |
4410944/69255 |
j-invariant |
L |
9.2740737189872 |
L(r)(E,1)/r! |
Ω |
0.57644274981301 |
Real period |
R |
0.67035232607539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002709 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200g1 45600b1 18240v1 |
Quadratic twists by: -4 8 5 |