Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
103428i |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-536170752 = -1 · 28 · 36 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 1 -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39,1118] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:34:1] |
Generators of the group modulo torsion |
j |
-208/17 |
j-invariant |
L |
7.6597227357485 |
L(r)(E,1)/r! |
Ω |
1.3549531851483 |
Real period |
R |
1.8843757400412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11492b1 103428l1 |
Quadratic twists by: -3 13 |