Atkin-Lehner |
2- 5- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
17390h |
Isogeny class |
Conductor |
17390 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
56000 |
Modular degree for the optimal curve |
Δ |
5147440000000 = 210 · 57 · 372 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- -5 -3 -3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20245,1094907] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:876:1] [-73:1516:1] |
Generators of the group modulo torsion |
j |
917652804423184081/5147440000000 |
j-invariant |
L |
8.0293059190549 |
L(r)(E,1)/r! |
Ω |
0.77019600795186 |
Real period |
R |
0.074464401975581 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86950e1 |
Quadratic twists by: 5 |