Atkin-Lehner |
2+ 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850bd |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
603729000000000 = 29 · 32 · 59 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-418133276,3290907012698] |
[a1,a2,a3,a4,a6] |
Generators |
[10722:-206174:1] |
Generators of the group modulo torsion |
j |
517425559361898728438440369/38638656000 |
j-invariant |
L |
5.1851502765599 |
L(r)(E,1)/r! |
Ω |
0.19731294965093 |
Real period |
R |
3.2848517328264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116550ef2 7770m2 |
Quadratic twists by: -3 5 |