Atkin-Lehner |
2- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20350s |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
344498154687500 = 22 · 58 · 115 · 372 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 11+ -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-85893963,-306438127219] |
[a1,a2,a3,a4,a6] |
j |
4485301163281275720605929/22047881900 |
j-invariant |
L |
3.1738680569119 |
L(r)(E,1)/r! |
Ω |
0.049591688389248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4070a2 |
Quadratic twists by: 5 |