Atkin-Lehner |
3- 5+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
113475m |
Isogeny class |
Conductor |
113475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-30141796875 = -1 · 3 · 58 · 172 · 89 |
Discriminant |
Eigenvalues |
-2 3- 5+ 0 4 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8,-8356] |
[a1,a2,a3,a4,a6] |
Generators |
[24:76:1] |
Generators of the group modulo torsion |
j |
-4096/1929075 |
j-invariant |
L |
4.8323074200388 |
L(r)(E,1)/r! |
Ω |
0.5380498863273 |
Real period |
R |
2.2452878027761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006584 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22695c1 |
Quadratic twists by: 5 |