Atkin-Lehner |
2+ 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11280a |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-541440 = -1 · 28 · 32 · 5 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,-35] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] |
Generators of the group modulo torsion |
j |
-1024/2115 |
j-invariant |
L |
3.3066120066544 |
L(r)(E,1)/r! |
Ω |
1.3232788599874 |
Real period |
R |
1.2494010546976 |
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 |
5640b1 45120cv1 33840p1 56400t1 |
Quadratic twists by: -4 8 -3 5 |