Atkin-Lehner |
2- 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37620d |
Isogeny class |
Conductor |
37620 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
1857109945680 = 24 · 312 · 5 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10308,-397447] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:11:1] |
Generators of the group modulo torsion |
j |
10384830939136/159217245 |
j-invariant |
L |
6.0896002500747 |
L(r)(E,1)/r! |
Ω |
0.47425224529636 |
Real period |
R |
2.1400707852806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12540h1 |
Quadratic twists by: -3 |