Atkin-Lehner |
3- 5+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52725n |
Isogeny class |
Conductor |
52725 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-216325033425 = -1 · 35 · 52 · 19 · 374 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 5 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1499,1253] |
[a1,a2,a3,a4,a6] |
j |
14914373399375/8653001337 |
j-invariant |
L |
5.9975766430293 |
L(r)(E,1)/r! |
Ω |
0.59975766436146 |
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 |
52725j1 |
Quadratic twists by: 5 |