Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29406d |
Isogeny class |
Conductor |
29406 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1378944 |
Modular degree for the optimal curve |
Δ |
-4353332613773524992 = -1 · 219 · 33 · 139 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 -3 13+ 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8791214,10029622452] |
[a1,a2,a3,a4,a6] |
Generators |
[11727769:-940830:6859] |
Generators of the group modulo torsion |
j |
-15567190192349720497/901906956288 |
j-invariant |
L |
4.2272581757436 |
L(r)(E,1)/r! |
Ω |
0.23253281659727 |
Real period |
R |
9.0895948313931 |
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 |
88218cg1 2262i1 |
Quadratic twists by: -3 13 |