Atkin-Lehner |
3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18837r |
Isogeny class |
Conductor |
18837 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
-426911344010005491 = -1 · 36 · 74 · 139 · 23 |
Discriminant |
Eigenvalues |
0 3- -3 7- 3 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,145896,-22981473] |
[a1,a2,a3,a4,a6] |
Generators |
[2133:99963:1] |
Generators of the group modulo torsion |
j |
471114356703100928/585612268875179 |
j-invariant |
L |
3.4352356904399 |
L(r)(E,1)/r! |
Ω |
0.15963876738962 |
Real period |
R |
0.59774461544441 |
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 |
2093f1 |
Quadratic twists by: -3 |