Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49104o |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2552277470358528 = 210 · 311 · 114 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44836779,-115557921718] |
[a1,a2,a3,a4,a6] |
Generators |
[406777824117734947570:-186990983221643859728252:1923046366038875] |
Generators of the group modulo torsion |
j |
13353633277691465771428/3419010243 |
j-invariant |
L |
7.9405273333779 |
L(r)(E,1)/r! |
Ω |
0.058343295060371 |
Real period |
R |
34.025020892084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24552r4 16368h4 |
Quadratic twists by: -4 -3 |