Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518bw |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-225479975643648 = -1 · 29 · 36 · 117 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 1 11- 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35960,2731259] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:2209:1] |
Generators of the group modulo torsion |
j |
-3981876625/174592 |
j-invariant |
L |
10.668691223951 |
L(r)(E,1)/r! |
Ω |
0.55403178958034 |
Real period |
R |
0.26745083908539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7502c1 6138i1 |
Quadratic twists by: -3 -11 |