Atkin-Lehner |
5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
11725d |
Isogeny class |
Conductor |
11725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-801513671875 = -1 · 512 · 72 · 67 |
Discriminant |
Eigenvalues |
2 2 5+ 7- -6 4 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1258,46793] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:1871:8] |
Generators of the group modulo torsion |
j |
-14102327296/51296875 |
j-invariant |
L |
12.042573750606 |
L(r)(E,1)/r! |
Ω |
0.78250189349341 |
Real period |
R |
3.8474583418715 |
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 |
105525bi1 2345a1 82075i1 |
Quadratic twists by: -3 5 -7 |