Atkin-Lehner |
2+ 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
26334z |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-3566466288 = -1 · 24 · 36 · 7 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 0 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,342,1444] |
[a1,a2,a3,a4,a6] |
Generators |
[0:38:1] |
Generators of the group modulo torsion |
j |
6058428767/4892272 |
j-invariant |
L |
3.2067733436767 |
L(r)(E,1)/r! |
Ω |
0.90587216357822 |
Real period |
R |
0.88499610447512 |
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 |
2926b1 |
Quadratic twists by: -3 |