Atkin-Lehner |
2+ 3- 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910y |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-6746712242651136000 = -1 · 224 · 32 · 53 · 74 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1856538,-981793844] |
[a1,a2,a3,a4,a6] |
Generators |
[2045:60417:1] |
Generators of the group modulo torsion |
j |
-294742487490649059001/2809959284736000 |
j-invariant |
L |
5.0443580544033 |
L(r)(E,1)/r! |
Ω |
0.0646318650677 |
Real period |
R |
2.1679872139924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77910j2 |
Quadratic twists by: -7 |