Atkin-Lehner |
2+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
119072c |
Isogeny class |
Conductor |
119072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
3297303959104 = 26 · 616 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3721,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-4551105780:-20556753594:88121125] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
5.576535272952 |
L(r)(E,1)/r! |
Ω |
0.67144013651209 |
Real period |
R |
16.610670003511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010033 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119072c1 32a2 |
Quadratic twists by: -4 61 |