Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630a |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4166400 |
Modular degree for the optimal curve |
Δ |
-2.8756096949592E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,424117,235257837] |
[a1,a2,a3,a4,a6] |
Generators |
[-302:9081:1] |
Generators of the group modulo torsion |
j |
163757102111/558150000 |
j-invariant |
L |
1.8352956947084 |
L(r)(E,1)/r! |
Ω |
0.14872321924182 |
Real period |
R |
6.1701720675484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999367125 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1830f1 |
Quadratic twists by: 61 |