Atkin-Lehner |
2- 3- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11310k |
Isogeny class |
Conductor |
11310 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
2652468249600 = 210 · 36 · 52 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4401,-80919] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:195:1] |
Generators of the group modulo torsion |
j |
9427227449071249/2652468249600 |
j-invariant |
L |
7.6653691022266 |
L(r)(E,1)/r! |
Ω |
0.59864821727458 |
Real period |
R |
0.42681544191479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90480u2 33930m2 56550d2 |
Quadratic twists by: -4 -3 5 |