Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970g |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-6963451740 = -1 · 22 · 39 · 5 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-204,4220] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:67:1] |
Generators of the group modulo torsion |
j |
-47832147/353780 |
j-invariant |
L |
3.6546882860577 |
L(r)(E,1)/r! |
Ω |
1.1408747984958 |
Real period |
R |
0.80085218178111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760ct1 11970bd1 59850eg1 83790b1 |
Quadratic twists by: -4 -3 5 -7 |