Atkin-Lehner |
3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7395h |
Isogeny class |
Conductor |
7395 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-163750258125 = -1 · 312 · 54 · 17 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 -4 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1406,-28239] |
[a1,a2,a3,a4,a6] |
Generators |
[61:307:1] |
Generators of the group modulo torsion |
j |
-307396543251169/163750258125 |
j-invariant |
L |
3.2322945651954 |
L(r)(E,1)/r! |
Ω |
0.38033561361791 |
Real period |
R |
0.35410551995211 |
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 |
118320bk1 22185q1 36975a1 125715p1 |
Quadratic twists by: -4 -3 5 17 |