Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680bb |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-162789159075840 = -1 · 225 · 36 · 5 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 11- -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50988,-4473808] |
[a1,a2,a3,a4,a6] |
Generators |
[4214:273152:1] |
Generators of the group modulo torsion |
j |
-76711450249/851840 |
j-invariant |
L |
6.6401648153851 |
L(r)(E,1)/r! |
Ω |
0.1587505435017 |
Real period |
R |
3.4856388881771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31680cq1 990l1 3520j1 |
Quadratic twists by: -4 8 -3 |