Atkin-Lehner |
2- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
81862g |
Isogeny class |
Conductor |
81862 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
2416893688 = 23 · 113 · 613 |
Discriminant |
Eigenvalues |
2- -1 0 0 11+ -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-413,-2373] |
[a1,a2,a3,a4,a6] |
Generators |
[25:48:1] |
Generators of the group modulo torsion |
j |
34328125/10648 |
j-invariant |
L |
6.9885312529095 |
L(r)(E,1)/r! |
Ω |
1.0847192738858 |
Real period |
R |
1.0737849294961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81862f1 |
Quadratic twists by: 61 |