Atkin-Lehner |
11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67507k |
Isogeny class |
Conductor |
67507 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5184000 |
Modular degree for the optimal curve |
Δ |
-5632800634095770531 = -1 · 11 · 174 · 1910 |
Discriminant |
Eigenvalues |
2 1 -3 2 11- -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-26714842,-53155817355] |
[a1,a2,a3,a4,a6] |
j |
-44818771954214268928/119729942651 |
j-invariant |
L |
2.3906380575348 |
L(r)(E,1)/r! |
Ω |
0.033203306588125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3553c1 |
Quadratic twists by: -19 |