Atkin-Lehner |
2- 3+ 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
101970bl |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
1740 |
Product of Tamagawa factors cp |
deg |
8908800 |
Modular degree for the optimal curve |
Δ |
1.940657799168E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- 1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17581082,-27566353319] |
[a1,a2,a3,a4,a6] |
Generators |
[-2639:22439:1] |
Generators of the group modulo torsion |
j |
22258542514354643400793443/718762147840000000000 |
j-invariant |
L |
12.554320065494 |
L(r)(E,1)/r! |
Ω |
0.073874974928549 |
Real period |
R |
0.097666719736294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101970a1 |
Quadratic twists by: -3 |