Atkin-Lehner |
3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58443l |
Isogeny class |
Conductor |
58443 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
63644427 = 33 · 7 · 114 · 23 |
Discriminant |
Eigenvalues |
-1 3+ -4 7- 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2120,36686] |
[a1,a2,a3,a4,a6] |
Generators |
[28:2:1] [70:1061:8] |
Generators of the group modulo torsion |
j |
71973621841/4347 |
j-invariant |
L |
4.4659897292009 |
L(r)(E,1)/r! |
Ω |
1.8613446908757 |
Real period |
R |
0.799778380844 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58443f1 |
Quadratic twists by: -11 |