Atkin-Lehner |
2- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
23698j |
Isogeny class |
Conductor |
23698 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
238680 |
Modular degree for the optimal curve |
Δ |
-2644983997389088 = -1 · 25 · 1710 · 41 |
Discriminant |
Eigenvalues |
2- -2 0 4 0 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-669908,-211113296] |
[a1,a2,a3,a4,a6] |
Generators |
[157051908:2852137439:140608] |
Generators of the group modulo torsion |
j |
-16492254625/1312 |
j-invariant |
L |
6.3720394127194 |
L(r)(E,1)/r! |
Ω |
0.083437962767303 |
Real period |
R |
15.27371762537 |
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 |
23698m1 |
Quadratic twists by: 17 |