Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360i |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
497002061360000000 = 210 · 57 · 7 · 316 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -2 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11656736,15322253936] |
[a1,a2,a3,a4,a6] |
Generators |
[-429055:15248838:125] |
Generators of the group modulo torsion |
j |
171062444945787531357316/485353575546875 |
j-invariant |
L |
6.8874321379244 |
L(r)(E,1)/r! |
Ω |
0.25592326248174 |
Real period |
R |
8.9706996166683 |
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 |
8680k2 69440eb2 86800n2 121520w2 |
Quadratic twists by: -4 8 5 -7 |