Atkin-Lehner |
2+ 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618c |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
190512 |
Modular degree for the optimal curve |
Δ |
-36254851371648 = -1 · 27 · 33 · 76 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 3 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7620,-389808] |
[a1,a2,a3,a4,a6] |
j |
-415996269625/308161152 |
j-invariant |
L |
0.24749493072735 |
L(r)(E,1)/r! |
Ω |
0.24749495835938 |
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 |
1482e1 |
Quadratic twists by: -7 |