Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850b |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1482975000000 = -1 · 26 · 33 · 58 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2433,-36659] |
[a1,a2,a3,a4,a6] |
Generators |
[54:473:1] |
Generators of the group modulo torsion |
j |
3774555693/3515200 |
j-invariant |
L |
3.3696917740689 |
L(r)(E,1)/r! |
Ω |
0.46503136150053 |
Real period |
R |
1.8115400664569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46800cb1 5850bd3 1170i1 76050dp1 |
Quadratic twists by: -4 -3 5 13 |