Atkin-Lehner |
11+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
121847c |
Isogeny class |
Conductor |
121847 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-3764950453 = -1 · 113 · 19 · 533 |
Discriminant |
Eigenvalues |
1 0 0 1 11+ -5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,148,2833] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:37:1] [134:725:8] |
Generators of the group modulo torsion |
j |
268336125/2828663 |
j-invariant |
L |
14.098500824073 |
L(r)(E,1)/r! |
Ω |
1.0289090989129 |
Real period |
R |
6.8511887182915 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121847a1 |
Quadratic twists by: -11 |