Atkin-Lehner |
2- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23698g |
Isogeny class |
Conductor |
23698 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-226247613454664 = -1 · 23 · 177 · 413 |
Discriminant |
Eigenvalues |
2- -1 3 -2 3 -7 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17924,-1180851] |
[a1,a2,a3,a4,a6] |
j |
-26383748833/9373256 |
j-invariant |
L |
2.4322583785305 |
L(r)(E,1)/r! |
Ω |
0.20268819821087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1394g1 |
Quadratic twists by: 17 |