Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200bk |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
638976 |
Modular degree for the optimal curve |
Δ |
14590388502144000 = 210 · 32 · 53 · 78 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64968,2639232] |
[a1,a2,a3,a4,a6] |
Generators |
[372:5460:1] [-258:1470:1] |
Generators of the group modulo torsion |
j |
236929380920564/113987410173 |
j-invariant |
L |
10.360757175124 |
L(r)(E,1)/r! |
Ω |
0.35168136780369 |
Real period |
R |
0.30688163719049 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987538 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600cq1 109200cd1 |
Quadratic twists by: -4 5 |