Atkin-Lehner |
2+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30272b |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-14672967237632 = -1 · 224 · 11 · 433 |
Discriminant |
Eigenvalues |
2+ -1 0 -4 11+ -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16673,-843359] |
[a1,a2,a3,a4,a6] |
Generators |
[537:12032:1] |
Generators of the group modulo torsion |
j |
-1955469687625/55972928 |
j-invariant |
L |
2.7656023994317 |
L(r)(E,1)/r! |
Ω |
0.20971584257542 |
Real period |
R |
3.2968448705026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30272bi2 946b2 |
Quadratic twists by: -4 8 |