Atkin-Lehner |
2+ 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37840f |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
2770077200 = 24 · 52 · 115 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- 1 11- -4 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2300,41623] |
[a1,a2,a3,a4,a6] |
Generators |
[21:55:1] |
Generators of the group modulo torsion |
j |
84134873779456/173129825 |
j-invariant |
L |
4.2458936933086 |
L(r)(E,1)/r! |
Ω |
1.436625338219 |
Real period |
R |
0.29554634603428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18920h1 |
Quadratic twists by: -4 |