Atkin-Lehner |
2- 3- 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
26070bc |
Isogeny class |
Conductor |
26070 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
464258971844870400 = 28 · 38 · 52 · 116 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-888560,-320790528] |
[a1,a2,a3,a4,a6] |
Generators |
[-566:1228:1] |
Generators of the group modulo torsion |
j |
77586117400777983747841/464258971844870400 |
j-invariant |
L |
11.517096907964 |
L(r)(E,1)/r! |
Ω |
0.15555514499603 |
Real period |
R |
2.313708610429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78210q2 |
Quadratic twists by: -3 |