Atkin-Lehner |
2+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
44206g |
Isogeny class |
Conductor |
44206 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
33316470784 = 216 · 232 · 312 |
Discriminant |
Eigenvalues |
2+ 1 -3 1 5 -3 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19070,1011952] |
[a1,a2,a3,a4,a6] |
Generators |
[229:2829:1] |
Generators of the group modulo torsion |
j |
798030823371673/34668544 |
j-invariant |
L |
4.0763509085274 |
L(r)(E,1)/r! |
Ω |
1.0961033522163 |
Real period |
R |
0.92973689485767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44206a1 |
Quadratic twists by: -31 |