Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680cf |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
197612649617760000 = 28 · 39 · 54 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 6 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-278343,-52319358] |
[a1,a2,a3,a4,a6] |
j |
98055792/8125 |
j-invariant |
L |
3.3431558058025 |
L(r)(E,1)/r! |
Ω |
0.20894729543702 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30420a2 121680cs2 9360bf2 |
Quadratic twists by: -4 -3 13 |