Atkin-Lehner |
2- 5+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
89300b |
Isogeny class |
Conductor |
89300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12528 |
Modular degree for the optimal curve |
Δ |
-6786800 = -1 · 24 · 52 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 -2 4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58,193] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:19:1] |
Generators of the group modulo torsion |
j |
-54880000/16967 |
j-invariant |
L |
7.2947339063964 |
L(r)(E,1)/r! |
Ω |
2.2400263864128 |
Real period |
R |
0.54275654584156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89300i1 |
Quadratic twists by: 5 |