Atkin-Lehner |
3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
26901m |
Isogeny class |
Conductor |
26901 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-988797609009 = -1 · 39 · 77 · 61 |
Discriminant |
Eigenvalues |
-1 3- 3 7- -4 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1534,-42262] |
[a1,a2,a3,a4,a6] |
Generators |
[72:625:1] |
Generators of the group modulo torsion |
j |
4657463/11529 |
j-invariant |
L |
3.8436168668227 |
L(r)(E,1)/r! |
Ω |
0.45389790609 |
Real period |
R |
1.0585025881515 |
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 |
8967i1 3843g1 |
Quadratic twists by: -3 -7 |