Atkin-Lehner |
2+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
38480i |
Isogeny class |
Conductor |
38480 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
200096000000 = 211 · 56 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -2 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2120,30100] |
[a1,a2,a3,a4,a6] |
Generators |
[10:100:1] |
Generators of the group modulo torsion |
j |
514761647762/97703125 |
j-invariant |
L |
3.9336151562002 |
L(r)(E,1)/r! |
Ω |
0.95378876133429 |
Real period |
R |
0.34368329372859 |
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 |
19240f2 |
Quadratic twists by: -4 |