Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144be |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
659500351488 = 214 · 35 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11+ -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-627313,191029199] |
[a1,a2,a3,a4,a6] |
Generators |
[455:-72:1] |
Generators of the group modulo torsion |
j |
1666315860501346000/40252707 |
j-invariant |
L |
7.1593363717859 |
L(r)(E,1)/r! |
Ω |
0.66003128052057 |
Real period |
R |
0.54234826311796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144ck2 4884c2 |
Quadratic twists by: -4 8 |