Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2760f |
Isogeny class |
Conductor |
2760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-97031250000000000 = -1 · 210 · 33 · 516 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116960,21524892] |
[a1,a2,a3,a4,a6] |
Generators |
[2762:37675:8] |
Generators of the group modulo torsion |
j |
-172798332611391364/94757080078125 |
j-invariant |
L |
2.923721416272 |
L(r)(E,1)/r! |
Ω |
0.31333584995176 |
Real period |
R |
4.6654754263231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5520k4 22080w3 8280i4 13800n4 |
Quadratic twists by: -4 8 -3 5 |