Atkin-Lehner |
3- 5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
113475n |
Isogeny class |
Conductor |
113475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50496 |
Modular degree for the optimal curve |
Δ |
-557502675 = -1 · 3 · 52 · 174 · 89 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 -2 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-783,-8776] |
[a1,a2,a3,a4,a6] |
Generators |
[74:586:1] |
Generators of the group modulo torsion |
j |
-2126295040000/22300107 |
j-invariant |
L |
4.2940851874148 |
L(r)(E,1)/r! |
Ω |
0.45093237460225 |
Real period |
R |
2.38067027114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999845701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113475h1 |
Quadratic twists by: 5 |