Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078bn |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
238971963784554 = 2 · 38 · 73 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6801747,6827201500] |
[a1,a2,a3,a4,a6] |
Generators |
[1508:-597:1] |
Generators of the group modulo torsion |
j |
7209828390823479793/49509306 |
j-invariant |
L |
4.6957428807308 |
L(r)(E,1)/r! |
Ω |
0.3824462895307 |
Real period |
R |
1.0231813391053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001781 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
462f4 |
Quadratic twists by: 13 |