Atkin-Lehner |
5+ 7+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84175b |
Isogeny class |
Conductor |
84175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
2555907291259765625 = 513 · 76 · 13 · 372 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-423213,-72928208] |
[a1,a2,a3,a4,a6] |
j |
536513617074016009/163578066640625 |
j-invariant |
L |
0.76646845373198 |
L(r)(E,1)/r! |
Ω |
0.19161711175555 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16835c1 |
Quadratic twists by: 5 |