Atkin-Lehner |
3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9075m |
Isogeny class |
Conductor |
9075 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-90432652921875 = -1 · 33 · 56 · 118 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 11- 2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,11092,-81031] |
[a1,a2,a3,a4,a6] |
Generators |
[1514:23771:8] |
Generators of the group modulo torsion |
j |
45056/27 |
j-invariant |
L |
9.6462756889988 |
L(r)(E,1)/r! |
Ω |
0.35158751164052 |
Real period |
R |
4.5727238926419 |
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 |
27225br1 363c1 9075o1 |
Quadratic twists by: -3 5 -11 |