Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350bi |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
Δ |
-7.2128E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 -7 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-493438,-429880508] |
[a1,a2,a3,a4,a6] |
Generators |
[1062:15094:1] |
Generators of the group modulo torsion |
j |
-17354233492390249/94208000000000 |
j-invariant |
L |
10.176296966212 |
L(r)(E,1)/r! |
Ω |
0.080979236378742 |
Real period |
R |
1.4960179655018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999744 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11270i2 56350bb2 |
Quadratic twists by: 5 -7 |