Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5280n |
Isogeny class |
Conductor |
5280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
141134400 = 26 · 36 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-990,12312] |
[a1,a2,a3,a4,a6] |
j |
1678370855104/2205225 |
j-invariant |
L |
1.8343247191172 |
L(r)(E,1)/r! |
Ω |
1.8343247191172 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5280p1 10560cc2 15840a1 26400t1 |
Quadratic twists by: -4 8 -3 5 |