Atkin-Lehner |
3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72675bg |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-5886675 = -1 · 36 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 6 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-770,8412] |
[a1,a2,a3,a4,a6] |
j |
-2766938305/323 |
j-invariant |
L |
2.3028442405052 |
L(r)(E,1)/r! |
Ω |
2.3028442633806 |
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 |
8075b1 72675bk1 |
Quadratic twists by: -3 5 |