Atkin-Lehner |
2+ 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36946i |
Isogeny class |
Conductor |
36946 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
709658768 = 24 · 76 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-319,1653] |
[a1,a2,a3,a4,a6] |
Generators |
[462:839:27] |
Generators of the group modulo torsion |
j |
30664297/6032 |
j-invariant |
L |
6.858206492485 |
L(r)(E,1)/r! |
Ω |
1.5239156457894 |
Real period |
R |
4.5003845924384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
754c1 |
Quadratic twists by: -7 |