Atkin-Lehner |
2- 3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
48840o |
Isogeny class |
Conductor |
48840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-59037303600 = -1 · 24 · 34 · 52 · 113 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-111,11736] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:99:1] [-4:110:1] |
Generators of the group modulo torsion |
j |
-9538484224/3689831475 |
j-invariant |
L |
7.5706301488834 |
L(r)(E,1)/r! |
Ω |
0.90253484444474 |
Real period |
R |
0.69901550020316 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680l1 |
Quadratic twists by: -4 |