Atkin-Lehner |
2- 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640bb |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-110347818750000 = -1 · 24 · 310 · 58 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15978,-927227] |
[a1,a2,a3,a4,a6] |
Generators |
[44545:776952:125] |
Generators of the group modulo torsion |
j |
-38676169209856/9460546875 |
j-invariant |
L |
5.9447276859955 |
L(r)(E,1)/r! |
Ω |
0.20961437117321 |
Real period |
R |
7.0900764879738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999791563 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880f1 |
Quadratic twists by: -3 |