Atkin-Lehner |
2- 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
37488w |
Isogeny class |
Conductor |
37488 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
11755881713664 = 212 · 36 · 11 · 713 |
Discriminant |
Eigenvalues |
2- 3- 1 5 11+ 1 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7205,-170349] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:9:1] |
Generators of the group modulo torsion |
j |
10100107472896/2870088309 |
j-invariant |
L |
8.9458022132285 |
L(r)(E,1)/r! |
Ω |
0.52937605298744 |
Real period |
R |
2.8164610528272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2343e1 112464bm1 |
Quadratic twists by: -4 -3 |