Atkin-Lehner |
2+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930g |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8279040 |
Modular degree for the optimal curve |
Δ |
-5.0618018389177E+21 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 -5 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27964274,57019003072] |
[a1,a2,a3,a4,a6] |
Generators |
[-6226:2241837:8] |
Generators of the group modulo torsion |
j |
-16336812328827892201/34193072187500 |
j-invariant |
L |
3.1593041924322 |
L(r)(E,1)/r! |
Ω |
0.13663786350866 |
Real period |
R |
2.8902166270132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999762412 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910e1 |
Quadratic twists by: -23 |