Atkin-Lehner |
2+ 3- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38280i |
Isogeny class |
Conductor |
38280 |
Conductor |
∏ cp |
80 |
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 |
2.1680027927996 |
L(r)(E,1)/r! |
Ω |
0.10840013964052 |
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 |
76560d4 114840bj4 |
Quadratic twists by: -4 -3 |