Atkin-Lehner |
2+ 3+ 11- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26598b |
Isogeny class |
Conductor |
26598 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
89917438820352 = 224 · 3 · 11 · 132 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11- 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-113021,-14664771] |
[a1,a2,a3,a4,a6] |
Generators |
[1661994:-79291925:729] |
Generators of the group modulo torsion |
j |
159664054274598510937/89917438820352 |
j-invariant |
L |
3.5240185462614 |
L(r)(E,1)/r! |
Ω |
0.26038978798297 |
Real period |
R |
6.76681403975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79794v1 |
Quadratic twists by: -3 |