Atkin-Lehner |
2+ 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710n |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7227968880 = 24 · 3 · 5 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2632962,-1645526076] |
[a1,a2,a3,a4,a6] |
Generators |
[6719:-536322:1] |
Generators of the group modulo torsion |
j |
1139466686381936641/4080 |
j-invariant |
L |
4.2397971544626 |
L(r)(E,1)/r! |
Ω |
0.11851911104694 |
Real period |
R |
8.9432774110011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
510e4 |
Quadratic twists by: -11 |