Atkin-Lehner |
2+ 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078bf |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
122445103863584502 = 2 · 34 · 76 · 113 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2388481,-1420891834] |
[a1,a2,a3,a4,a6] |
Generators |
[-896:701:1] |
Generators of the group modulo torsion |
j |
312196988566716625/25367712678 |
j-invariant |
L |
5.2726875968348 |
L(r)(E,1)/r! |
Ω |
0.12144265301459 |
Real period |
R |
1.8090457600005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
462g4 |
Quadratic twists by: 13 |