Atkin-Lehner |
2- 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
47300p |
Isogeny class |
Conductor |
47300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
250560 |
Modular degree for the optimal curve |
Δ |
437288500000000 = 28 · 59 · 11 · 433 |
Discriminant |
Eigenvalues |
2- -3 5- -2 11+ -3 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19000,62500] |
[a1,a2,a3,a4,a6] |
Generators |
[0:250:1] [-59:989:1] |
Generators of the group modulo torsion |
j |
1517101056/874577 |
j-invariant |
L |
5.6785520413923 |
L(r)(E,1)/r! |
Ω |
0.45044452795276 |
Real period |
R |
0.70036396011854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47300o1 |
Quadratic twists by: 5 |