Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300r |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
95247360 |
Modular degree for the optimal curve |
Δ |
-1.2691526837702E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41444757000,3247525504462500] |
[a1,a2,a3,a4,a6] |
j |
-799965408846201776676864/128959272851717 |
j-invariant |
L |
1.3670025269694 |
L(r)(E,1)/r! |
Ω |
0.03797229229467 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69300o1 69300x1 |
Quadratic twists by: -3 5 |