Atkin-Lehner |
3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
5841h |
Isogeny class |
Conductor |
5841 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-1034715627 = -1 · 313 · 11 · 59 |
Discriminant |
Eigenvalues |
-2 3- 2 0 11+ -1 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3909,-94082] |
[a1,a2,a3,a4,a6] |
Generators |
[94:607:1] |
Generators of the group modulo torsion |
j |
-9061356040192/1419363 |
j-invariant |
L |
2.2304920983083 |
L(r)(E,1)/r! |
Ω |
0.30189023130409 |
Real period |
R |
1.8471052281761 |
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 |
93456bp1 1947d1 64251bb1 |
Quadratic twists by: -4 -3 -11 |