Atkin-Lehner |
2- 3+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
2928j |
Isogeny class |
Conductor |
2928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-1942880256 = -1 · 217 · 35 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 -2 4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80,-2112] |
[a1,a2,a3,a4,a6] |
Generators |
[24:96:1] |
Generators of the group modulo torsion |
j |
-13997521/474336 |
j-invariant |
L |
3.1836327945118 |
L(r)(E,1)/r! |
Ω |
0.64371955187306 |
Real period |
R |
1.2364207305993 |
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 |
366b1 11712be1 8784v1 73200cr1 |
Quadratic twists by: -4 8 -3 5 |