Atkin-Lehner |
2- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
61100p |
Isogeny class |
Conductor |
61100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41760 |
Modular degree for the optimal curve |
Δ |
-49643750000 = -1 · 24 · 58 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- 1 0 13+ -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-458,11213] |
[a1,a2,a3,a4,a6] |
j |
-1703680/7943 |
j-invariant |
L |
1.9599206498977 |
L(r)(E,1)/r! |
Ω |
0.97996032635459 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61100g1 |
Quadratic twists by: 5 |