Atkin-Lehner |
2- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
59024k |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-493708845056 = -1 · 213 · 7 · 172 · 313 |
Discriminant |
Eigenvalues |
2- 1 1 7+ -2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8440,297556] |
[a1,a2,a3,a4,a6] |
Generators |
[270:4216:1] |
Generators of the group modulo torsion |
j |
-16234636151161/120534386 |
j-invariant |
L |
7.1762622971526 |
L(r)(E,1)/r! |
Ω |
0.93630168873558 |
Real period |
R |
0.31935318781082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7378i1 |
Quadratic twists by: -4 |