Atkin-Lehner |
3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58443k |
Isogeny class |
Conductor |
58443 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
-6.8571423756744E+20 |
Discriminant |
Eigenvalues |
-1 3+ 1 7- 11- -3 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2515895,-1987640962] |
[a1,a2,a3,a4,a6] |
Generators |
[15566:168991:8] [1986:28228:1] |
Generators of the group modulo torsion |
j |
-8215987648966801/3198907525401 |
j-invariant |
L |
6.0409145532291 |
L(r)(E,1)/r! |
Ω |
0.0588032594372 |
Real period |
R |
0.71340935706715 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58443e1 |
Quadratic twists by: -11 |