Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930i |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1376069763600 = 24 · 34 · 52 · 76 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3308,45312] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:356:1] |
Generators of the group modulo torsion |
j |
34043726521/11696400 |
j-invariant |
L |
3.3484371996561 |
L(r)(E,1)/r! |
Ω |
0.78616429156856 |
Real period |
R |
1.0648019871824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83790fs2 570e2 |
Quadratic twists by: -3 -7 |