Atkin-Lehner |
2+ 3+ 7+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36582a |
Isogeny class |
Conductor |
36582 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
342720 |
Modular degree for the optimal curve |
Δ |
-174846048878592 = -1 · 214 · 36 · 75 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 4 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-127438,17468980] |
[a1,a2,a3,a4,a6] |
j |
-228889504057343868649/174846048878592 |
j-invariant |
L |
2.2657091576409 |
L(r)(E,1)/r! |
Ω |
0.56642728940813 |
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 |
109746r1 |
Quadratic twists by: -3 |