Atkin-Lehner |
3- 7- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104811w |
Isogeny class |
Conductor |
104811 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-25889989579073739 = -1 · 35 · 710 · 233 · 31 |
Discriminant |
Eigenvalues |
-2 3- -1 7- 2 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,18114,-7678366] |
[a1,a2,a3,a4,a6] |
Generators |
[303:-5072:1] |
Generators of the group modulo torsion |
j |
5586690166784/220061280411 |
j-invariant |
L |
4.0318446640478 |
L(r)(E,1)/r! |
Ω |
0.18090925105785 |
Real period |
R |
0.74288529887478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999325573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14973a1 |
Quadratic twists by: -7 |