Atkin-Lehner |
2- 5- 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
17390i |
Isogeny class |
Conductor |
17390 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
45482779840 = 26 · 5 · 372 · 473 |
Discriminant |
Eigenvalues |
2- -1 5- 3 1 1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1390,-17685] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:59:1] |
Generators of the group modulo torsion |
j |
297021331323361/45482779840 |
j-invariant |
L |
7.1955239622456 |
L(r)(E,1)/r! |
Ω |
0.78993185152853 |
Real period |
R |
0.25302899893348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86950a1 |
Quadratic twists by: 5 |