Atkin-Lehner |
2+ 5- 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
112240a |
Isogeny class |
Conductor |
112240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2738656000000 = -1 · 211 · 56 · 23 · 612 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 4 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1560,83600] |
[a1,a2,a3,a4,a6] |
j |
-205137906482/1337234375 |
j-invariant |
L |
8.3468366285187 |
L(r)(E,1)/r! |
Ω |
0.69556977524358 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56120a2 |
Quadratic twists by: -4 |