Atkin-Lehner |
7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39151g |
Isogeny class |
Conductor |
39151 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
382464 |
Modular degree for the optimal curve |
Δ |
-859569945416441 = -1 · 73 · 176 · 473 |
Discriminant |
Eigenvalues |
1 -3 -3 7- 1 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20459,844066] |
[a1,a2,a3,a4,a6] |
Generators |
[-250:3457:8] [-10:804:1] |
Generators of the group modulo torsion |
j |
2761028302957569/2506034826287 |
j-invariant |
L |
5.1232441705122 |
L(r)(E,1)/r! |
Ω |
0.32654678746978 |
Real period |
R |
0.43580994678417 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39151a1 |
Quadratic twists by: -7 |