Atkin-Lehner |
2+ 7+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47656g |
Isogeny class |
Conductor |
47656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-10674944 = -1 · 28 · 72 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ -3 -1 7+ -6 4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1228,16564] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:182:1] [22:14:1] |
Generators of the group modulo torsion |
j |
-799979480064/41699 |
j-invariant |
L |
5.3284586066532 |
L(r)(E,1)/r! |
Ω |
2.152498953779 |
Real period |
R |
0.30943444811541 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95312f1 |
Quadratic twists by: -4 |