Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510ch |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-1823092951125600 = -1 · 25 · 33 · 52 · 78 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12118,-1992119] |
[a1,a2,a3,a4,a6] |
Generators |
[191:-2791:1] |
Generators of the group modulo torsion |
j |
61958108493/573927200 |
j-invariant |
L |
10.128370407114 |
L(r)(E,1)/r! |
Ω |
0.23224367484267 |
Real period |
R |
0.54513704269707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48510b2 6930s2 |
Quadratic twists by: -3 -7 |