Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400f |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
7.036515036E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3769633,2789261137] |
[a1,a2,a3,a4,a6] |
Generators |
[-1403:72900:1] [541:30132:1] |
Generators of the group modulo torsion |
j |
92563776571134016/1099455474375 |
j-invariant |
L |
9.212456390294 |
L(r)(E,1)/r! |
Ω |
0.19555133538829 |
Real period |
R |
1.9629236938307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400ci2 14880q2 |
Quadratic twists by: -4 5 |