Atkin-Lehner |
2- 3+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34440t |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2126325600000000 = 211 · 33 · 58 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57440,-4792788] |
[a1,a2,a3,a4,a6] |
j |
10233981188464322/1038244921875 |
j-invariant |
L |
2.4832313173975 |
L(r)(E,1)/r! |
Ω |
0.31040391467456 |
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 |
68880w3 103320n3 |
Quadratic twists by: -4 -3 |