Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360f |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
392301625811200000 = 211 · 55 · 711 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -1 -3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-391536,89484640] |
[a1,a2,a3,a4,a6] |
Generators |
[186:4802:1] |
Generators of the group modulo torsion |
j |
3241230881441497058/191553528228125 |
j-invariant |
L |
3.259891971862 |
L(r)(E,1)/r! |
Ω |
0.29544535649509 |
Real period |
R |
0.50153744018777 |
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 |
8680i1 69440dt1 86800f1 121520k1 |
Quadratic twists by: -4 8 5 -7 |