Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600z |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-356000000 = -1 · 28 · 56 · 89 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 0 4 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,92,812] |
[a1,a2,a3,a4,a6] |
Generators |
[41:268:1] |
Generators of the group modulo torsion |
j |
21296/89 |
j-invariant |
L |
4.7054323730726 |
L(r)(E,1)/r! |
Ω |
1.2158171917912 |
Real period |
R |
3.8701808173483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8900b1 1424d1 |
Quadratic twists by: -4 5 |