Atkin-Lehner |
2+ 5+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17710a |
Isogeny class |
Conductor |
17710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-26786375000000000 = -1 · 29 · 512 · 7 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12239,7890562] |
[a1,a2,a3,a4,a6] |
Generators |
[225948:4933037:1728] |
Generators of the group modulo torsion |
j |
-202726492552879849/26786375000000000 |
j-invariant |
L |
3.6621402887052 |
L(r)(E,1)/r! |
Ω |
0.30766707775717 |
Real period |
R |
5.9514659732226 |
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 |
88550bg2 123970n2 |
Quadratic twists by: 5 -7 |