Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200bd |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-71539200 = -1 · 29 · 35 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 -6 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88,488] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-18:1] |
Generators of the group modulo torsion |
j |
-5955080/5589 |
j-invariant |
L |
7.328631589389 |
L(r)(E,1)/r! |
Ω |
1.775343964246 |
Real period |
R |
0.41280065930724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55200bo1 110400ba1 55200bv1 |
Quadratic twists by: -4 8 5 |