Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360df |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-5000483523087360 = -1 · 210 · 34 · 5 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18800,-3248092] |
[a1,a2,a3,a4,a6] |
Generators |
[118:792:1] |
Generators of the group modulo torsion |
j |
6099383804/41507235 |
j-invariant |
L |
9.1071868602538 |
L(r)(E,1)/r! |
Ω |
0.21527802707689 |
Real period |
R |
2.6440189192015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040165 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64680i3 18480h4 |
Quadratic twists by: -4 -7 |