Atkin-Lehner |
2- 3+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11310h |
Isogeny class |
Conductor |
11310 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-3458851344000000 = -1 · 210 · 32 · 56 · 134 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,36389,-916567] |
[a1,a2,a3,a4,a6] |
Generators |
[119:2202:1] |
Generators of the group modulo torsion |
j |
5328847957372469711/3458851344000000 |
j-invariant |
L |
5.9763717693362 |
L(r)(E,1)/r! |
Ω |
0.25449363618368 |
Real period |
R |
0.29354229927692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480bu2 33930q2 56550r2 |
Quadratic twists by: -4 -3 5 |