Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34272q |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-23703132087226368 = -1 · 212 · 310 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37284,6869504] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:2268:1] |
Generators of the group modulo torsion |
j |
1919569026752/7938130977 |
j-invariant |
L |
4.7966483377499 |
L(r)(E,1)/r! |
Ω |
0.27086069447268 |
Real period |
R |
1.106807031168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34272j2 68544el1 11424q4 |
Quadratic twists by: -4 8 -3 |