Atkin-Lehner |
3+ 7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117453j |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
23504805822897 = 36 · 79 · 17 · 47 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8796,-219141] |
[a1,a2,a3,a4,a6] |
Generators |
[-1071336:1472045:13824] |
Generators of the group modulo torsion |
j |
1865409391/582471 |
j-invariant |
L |
5.5157699104187 |
L(r)(E,1)/r! |
Ω |
0.50503991531421 |
Real period |
R |
10.921453376333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040117 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117453s1 |
Quadratic twists by: -7 |