Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850f |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-131718785088800 = -1 · 25 · 52 · 78 · 134 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -1 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8601,631068] |
[a1,a2,a3,a4,a6] |
j |
-23920470625/44783648 |
j-invariant |
L |
2.0868978053771 |
L(r)(E,1)/r! |
Ω |
0.52172445134474 |
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 |
31850cn1 4550i1 |
Quadratic twists by: 5 -7 |