Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8280j |
Isogeny class |
Conductor |
8280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-6706800 = -1 · 24 · 36 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33,-101] |
[a1,a2,a3,a4,a6] |
Generators |
[3:5:1] |
Generators of the group modulo torsion |
j |
340736/575 |
j-invariant |
L |
4.366810147188 |
L(r)(E,1)/r! |
Ω |
1.2463263371154 |
Real period |
R |
0.8759363453104 |
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 |
16560u1 66240bh1 920c1 41400bx1 |
Quadratic twists by: -4 8 -3 5 |