Atkin-Lehner |
2- 3+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
122100c |
Isogeny class |
Conductor |
122100 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
5750784 |
Modular degree for the optimal curve |
Δ |
1.6489619538523E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11154133,-14200991738] |
[a1,a2,a3,a4,a6] |
Generators |
[-1902:11396:1] |
Generators of the group modulo torsion |
j |
613890903731775471616/6595847815409325 |
j-invariant |
L |
5.3291799498343 |
L(r)(E,1)/r! |
Ω |
0.082665156612058 |
Real period |
R |
3.5815035660301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24420l1 |
Quadratic twists by: 5 |