Atkin-Lehner |
37+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
2701a |
Isogeny class |
Conductor |
2701 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2832 |
Modular degree for the optimal curve |
Δ |
729080489737 = 374 · 733 |
Discriminant |
Eigenvalues |
1 0 -2 2 -2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7648,256059] |
[a1,a2,a3,a4,a6] |
j |
49476536631111897/729080489737 |
j-invariant |
L |
1.3557682608343 |
L(r)(E,1)/r! |
Ω |
0.90384550722288 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43216a1 24309e1 67525a1 99937c1 |
Quadratic twists by: -4 -3 5 37 |