Atkin-Lehner |
3+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
59241h |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1512412836753 = 3 · 79 · 13 · 312 |
Discriminant |
Eigenvalues |
1 3+ 0 7- -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-71565,7338864] |
[a1,a2,a3,a4,a6] |
Generators |
[1310:1031:8] |
Generators of the group modulo torsion |
j |
1004506753375/37479 |
j-invariant |
L |
4.193858207883 |
L(r)(E,1)/r! |
Ω |
0.79458656482867 |
Real period |
R |
5.2780381565077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000164 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59241x2 |
Quadratic twists by: -7 |