Atkin-Lehner |
2- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23698m |
Isogeny class |
Conductor |
23698 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
14040 |
Modular degree for the optimal curve |
Δ |
-109579552 = -1 · 25 · 174 · 41 |
Discriminant |
Eigenvalues |
2- 2 0 -4 0 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2318,-43925] |
[a1,a2,a3,a4,a6] |
Generators |
[1551:2693:27] |
Generators of the group modulo torsion |
j |
-16492254625/1312 |
j-invariant |
L |
10.003889387896 |
L(r)(E,1)/r! |
Ω |
0.34402353367594 |
Real period |
R |
5.8158168896196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23698j1 |
Quadratic twists by: 17 |