Atkin-Lehner |
3- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
33201k |
Isogeny class |
Conductor |
33201 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-30277690615652193 = -1 · 38 · 710 · 17 · 312 |
Discriminant |
Eigenvalues |
-1 3- -4 7- 0 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-90347,13414380] |
[a1,a2,a3,a4,a6] |
Generators |
[-352:1404:1] [-100:-4581:1] |
Generators of the group modulo torsion |
j |
-111874958194803049/41533183286217 |
j-invariant |
L |
4.343836812327 |
L(r)(E,1)/r! |
Ω |
0.34966083859898 |
Real period |
R |
0.62115003066001 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11067e2 |
Quadratic twists by: -3 |