Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37950dc |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-109296000000000 = -1 · 213 · 33 · 59 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 0 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2287,501417] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-761:1] |
Generators of the group modulo torsion |
j |
84662348471/6994944000 |
j-invariant |
L |
10.237696097313 |
L(r)(E,1)/r! |
Ω |
0.45423485528748 |
Real period |
R |
0.14447648891345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850y1 7590b1 |
Quadratic twists by: -3 5 |