Atkin-Lehner |
2+ 3+ 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450n |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8345873203125000 = -1 · 23 · 3 · 510 · 19 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,42975,-2731875] |
[a1,a2,a3,a4,a6] |
Generators |
[215:3955:1] |
Generators of the group modulo torsion |
j |
561740261198831/534135885000 |
j-invariant |
L |
2.3984459473518 |
L(r)(E,1)/r! |
Ω |
0.22603706493067 |
Real period |
R |
2.6527131266213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999598642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21090n3 |
Quadratic twists by: 5 |