Atkin-Lehner |
2- 3+ 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bu |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
-7.4490384685788E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,474274,395958683] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:19303:1] |
Generators of the group modulo torsion |
j |
11798087313769122737951/74490384685787642880 |
j-invariant |
L |
7.1643726273585 |
L(r)(E,1)/r! |
Ω |
0.14054053314076 |
Real period |
R |
0.63721586819571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810cd1 |
Quadratic twists by: -3 |