Atkin-Lehner |
3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111573bm |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
7442698214259 = 36 · 79 · 11 · 23 |
Discriminant |
Eigenvalues |
1 3- 1 7- 11- -1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-68364,6895881] |
[a1,a2,a3,a4,a6] |
Generators |
[-200:3641:1] |
Generators of the group modulo torsion |
j |
1201157047/253 |
j-invariant |
L |
8.5681584289571 |
L(r)(E,1)/r! |
Ω |
0.72239840347228 |
Real period |
R |
5.9303553429644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999596128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12397c1 111573bn1 |
Quadratic twists by: -3 -7 |