Atkin-Lehner |
7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
107219n |
Isogeny class |
Conductor |
107219 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
246024 |
Modular degree for the optimal curve |
Δ |
-126812294519939 = -1 · 73 · 178 · 53 |
Discriminant |
Eigenvalues |
0 1 3 7- 0 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,6551,-499716] |
[a1,a2,a3,a4,a6] |
Generators |
[43174096259686278:397846116757445758:538896081929633] |
Generators of the group modulo torsion |
j |
4456448/18179 |
j-invariant |
L |
7.8138758023839 |
L(r)(E,1)/r! |
Ω |
0.29711396677561 |
Real period |
R |
26.299254414671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
107219a1 |
Quadratic twists by: 17 |