Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
26550t |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-979844343750 = -1 · 2 · 312 · 56 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 -5 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2133,28291] |
[a1,a2,a3,a4,a6] |
Generators |
[29:323:1] |
Generators of the group modulo torsion |
j |
94196375/86022 |
j-invariant |
L |
3.5278119449649 |
L(r)(E,1)/r! |
Ω |
0.57473274696373 |
Real period |
R |
1.5345445181269 |
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 |
8850s1 1062j1 |
Quadratic twists by: -3 5 |