Atkin-Lehner |
2+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3910h |
Isogeny class |
Conductor |
3910 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-706243750 = -1 · 2 · 55 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 2 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,183,-781] |
[a1,a2,a3,a4,a6] |
Generators |
[23:116:1] |
Generators of the group modulo torsion |
j |
671991189479/706243750 |
j-invariant |
L |
3.6688376471545 |
L(r)(E,1)/r! |
Ω |
0.87109920114951 |
Real period |
R |
0.28078223026057 |
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 |
31280bi1 125120r1 35190bi1 19550bd1 |
Quadratic twists by: -4 8 -3 5 |