Atkin-Lehner |
2- 3- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
20646s |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
632320 |
Modular degree for the optimal curve |
Δ |
-1150658601476847264 = -1 · 25 · 325 · 31 · 372 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 5 5 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-110516,-53484361] |
[a1,a2,a3,a4,a6] |
j |
-204770774505374713/1578406860736416 |
j-invariant |
L |
4.623272469178 |
L(r)(E,1)/r! |
Ω |
0.11558181172945 |
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 |
6882e1 |
Quadratic twists by: -3 |