Atkin-Lehner |
3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
94017z |
Isogeny class |
Conductor |
94017 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2509277055324871293 = 32 · 74 · 1112 · 37 |
Discriminant |
Eigenvalues |
-1 3- 4 7- 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-517096,-121184557] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:1189:1] |
Generators of the group modulo torsion |
j |
8631398911361689/1416421481013 |
j-invariant |
L |
6.9616429622672 |
L(r)(E,1)/r! |
Ω |
0.18001661116693 |
Real period |
R |
4.8340281710475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8547e2 |
Quadratic twists by: -11 |