Atkin-Lehner |
2+ 3+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
91080g |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
21911115600 = 24 · 39 · 52 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-702,729] |
[a1,a2,a3,a4,a6] |
Generators |
[0:27:1] |
Generators of the group modulo torsion |
j |
121485312/69575 |
j-invariant |
L |
5.3680200965389 |
L(r)(E,1)/r! |
Ω |
1.0332708436143 |
Real period |
R |
1.2987930816877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91080bi1 |
Quadratic twists by: -3 |