Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104bj |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
29861963404148736 = 224 · 32 · 76 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-177857,27588255] |
[a1,a2,a3,a4,a6] |
Generators |
[1965:85260:1] |
Generators of the group modulo torsion |
j |
2373554016849457/113914350144 |
j-invariant |
L |
9.5186149530415 |
L(r)(E,1)/r! |
Ω |
0.36767210871214 |
Real period |
R |
4.3148114526815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55104bs2 1722m2 |
Quadratic twists by: -4 8 |