Atkin-Lehner |
2- 3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
22260c |
Isogeny class |
Conductor |
22260 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-8762871600 = -1 · 24 · 310 · 52 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-281,4950] |
[a1,a2,a3,a4,a6] |
j |
-153910165504/547679475 |
j-invariant |
L |
1.1407550981747 |
L(r)(E,1)/r! |
Ω |
1.1407550981747 |
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 |
89040cb1 66780l1 111300l1 |
Quadratic twists by: -4 -3 5 |