Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59472p |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11967277887065088 = 210 · 39 · 72 · 594 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264459,-52080982] |
[a1,a2,a3,a4,a6] |
Generators |
[115630:2780624:125] |
Generators of the group modulo torsion |
j |
2740130718230308/16031268603 |
j-invariant |
L |
7.8797797962808 |
L(r)(E,1)/r! |
Ω |
0.21060224006967 |
Real period |
R |
9.3538651269247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29736q3 19824d4 |
Quadratic twists by: -4 -3 |