Atkin-Lehner |
2- 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61360m |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-18173175294726400 = -1 · 28 · 52 · 138 · 592 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29036,6769436] |
[a1,a2,a3,a4,a6] |
j |
-10575698643776464/70988965995025 |
j-invariant |
L |
2.6707160326306 |
L(r)(E,1)/r! |
Ω |
0.33383950474456 |
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 |
15340b2 |
Quadratic twists by: -4 |