Atkin-Lehner |
2- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
114376f |
Isogeny class |
Conductor |
114376 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
723840 |
Modular degree for the optimal curve |
Δ |
-8708289556825088 = -1 · 210 · 17 · 298 |
Discriminant |
Eigenvalues |
2- 0 -2 -3 5 5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24389,4243686] |
[a1,a2,a3,a4,a6] |
j |
3132/17 |
j-invariant |
L |
1.7841838888385 |
L(r)(E,1)/r! |
Ω |
0.29736380049262 |
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 |
114376a1 |
Quadratic twists by: 29 |