Atkin-Lehner |
2- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12350ba |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
616 |
Product of Tamagawa factors cp |
deg |
1389696 |
Modular degree for the optimal curve |
Δ |
-2.1436693175224E+22 |
Discriminant |
Eigenvalues |
2- 2 5- -3 5 13- -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3278988,7404369581] |
[a1,a2,a3,a4,a6] |
Generators |
[-531:95113:1] |
Generators of the group modulo torsion |
j |
-6238255884831248959825/34298709080358780928 |
j-invariant |
L |
9.2046222507916 |
L(r)(E,1)/r! |
Ω |
0.10464772077712 |
Real period |
R |
0.14278924068278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800cy1 111150ct1 12350e1 |
Quadratic twists by: -4 -3 5 |