Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
4928o |
Isogeny class |
Conductor |
4928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-34496 = -1 · 26 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-357,2719] |
[a1,a2,a3,a4,a6] |
Generators |
[10:7:1] |
Generators of the group modulo torsion |
j |
-78843215872/539 |
j-invariant |
L |
2.5660509748821 |
L(r)(E,1)/r! |
Ω |
3.2857344325755 |
Real period |
R |
0.3904836236066 |
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 |
4928t1 77b3 44352ch1 123200s1 |
Quadratic twists by: -4 8 -3 5 |