Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950bd |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.3132280668839E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9122292,-9056627384] |
[a1,a2,a3,a4,a6] |
Generators |
[-1611:38968:1] |
Generators of the group modulo torsion |
j |
7370349688815502969/1152902555289000 |
j-invariant |
L |
2.7383809995172 |
L(r)(E,1)/r! |
Ω |
0.087786248876157 |
Real period |
R |
2.599477931314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10650u4 6390u4 |
Quadratic twists by: -3 5 |