Atkin-Lehner |
2+ 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248g |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-7.5309631552981E+24 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 11+ -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,34594559,106285817089] |
[a1,a2,a3,a4,a6] |
j |
17466551704682106586559/28728344556038333646 |
j-invariant |
L |
2.0278602855742 |
L(r)(E,1)/r! |
Ω |
0.050696507181608 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61248ck2 1914p2 |
Quadratic twists by: -4 8 |