Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200bo |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
4127760000000 = 210 · 34 · 57 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43408,3465188] |
[a1,a2,a3,a4,a6] |
Generators |
[128:-150:1] [-197:2100:1] |
Generators of the group modulo torsion |
j |
565357377316/257985 |
j-invariant |
L |
12.997777131435 |
L(r)(E,1)/r! |
Ω |
0.76856933834647 |
Real period |
R |
0.52848912285708 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999970398 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600h1 21840e1 |
Quadratic twists by: -4 5 |