Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518bz |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-311316102735264 = -1 · 25 · 311 · 116 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16312,274475] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:169:1] |
Generators of the group modulo torsion |
j |
371694959/241056 |
j-invariant |
L |
10.71151467479 |
L(r)(E,1)/r! |
Ω |
0.33995584854082 |
Real period |
R |
1.5754273268263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22506p1 558d1 |
Quadratic twists by: -3 -11 |