Atkin-Lehner |
2+ 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37128f |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
7661214288 = 24 · 32 · 72 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2007,35028] |
[a1,a2,a3,a4,a6] |
j |
55906488997888/478825893 |
j-invariant |
L |
2.6489370573103 |
L(r)(E,1)/r! |
Ω |
1.324468528648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74256bd1 111384cn1 |
Quadratic twists by: -4 -3 |