Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112659j |
Isogeny class |
Conductor |
112659 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-97675353 = -1 · 32 · 173 · 472 |
Discriminant |
Eigenvalues |
1 3- 0 -3 -1 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,24,475] |
[a1,a2,a3,a4,a6] |
Generators |
[5:24:1] |
Generators of the group modulo torsion |
j |
734375/44217 |
j-invariant |
L |
6.0064067779656 |
L(r)(E,1)/r! |
Ω |
1.4437419091726 |
Real period |
R |
2.0801525227431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112659i1 |
Quadratic twists by: -47 |