Atkin-Lehner |
2- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
6100b |
Isogeny class |
Conductor |
6100 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
-244000000 = -1 · 28 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 -1 -1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25,750] |
[a1,a2,a3,a4,a6] |
Generators |
[14:62:1] |
Generators of the group modulo torsion |
j |
432/61 |
j-invariant |
L |
4.1606907713789 |
L(r)(E,1)/r! |
Ω |
1.3518709176239 |
Real period |
R |
3.0777278489664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24400v1 97600c1 54900s1 244a1 |
Quadratic twists by: -4 8 -3 5 |