Atkin-Lehner |
2+ 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560d |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
626438474911180800 = 211 · 320 · 52 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3762616,2810198416] |
[a1,a2,a3,a4,a6] |
j |
2876494639724995242098/305878161577725 |
j-invariant |
L |
2.2161175767363 |
L(r)(E,1)/r! |
Ω |
0.27701469738981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38280i4 |
Quadratic twists by: -4 |