Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
1110h |
Isogeny class |
Conductor |
1110 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-995878502400 = -1 · 218 · 3 · 52 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 6 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2312,-21562] |
[a1,a2,a3,a4,a6] |
j |
1367594037332999/995878502400 |
j-invariant |
L |
1.479713254841 |
L(r)(E,1)/r! |
Ω |
0.49323775161366 |
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 |
8880s3 35520e3 3330s3 5550x3 |
Quadratic twists by: -4 8 -3 5 |