Atkin-Lehner |
2+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30272c |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5568 |
Modular degree for the optimal curve |
Δ |
-5327872 = -1 · 210 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 2 2 4 11+ 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,43,-43] |
[a1,a2,a3,a4,a6] |
Generators |
[24380:339801:125] |
Generators of the group modulo torsion |
j |
8388608/5203 |
j-invariant |
L |
10.184880069715 |
L(r)(E,1)/r! |
Ω |
1.3938928520259 |
Real period |
R |
7.3067883624715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30272bj1 1892e1 |
Quadratic twists by: -4 8 |