Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440bw |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
123440988160 = 219 · 5 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-167212,-26317776] |
[a1,a2,a3,a4,a6] |
j |
1972359673792929/470890 |
j-invariant |
L |
1.8887422288856 |
L(r)(E,1)/r! |
Ω |
0.23609277701101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440dc2 2170m2 |
Quadratic twists by: -4 8 |