Atkin-Lehner |
2- 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
58032bm |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-64980983808 = -1 · 213 · 39 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 -4 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1587,27250] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-54:1] [-31:216:1] |
Generators of the group modulo torsion |
j |
-148035889/21762 |
j-invariant |
L |
6.8585139576014 |
L(r)(E,1)/r! |
Ω |
1.0658272108909 |
Real period |
R |
0.40218256577613 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7254h1 19344s1 |
Quadratic twists by: -4 -3 |