Atkin-Lehner |
2+ 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49610i |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7623664744960000 = 212 · 54 · 116 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2645869,1657191333] |
[a1,a2,a3,a4,a6] |
Generators |
[817:5944:1] |
Generators of the group modulo torsion |
j |
1156305808919628801/4303360000 |
j-invariant |
L |
3.2847533596649 |
L(r)(E,1)/r! |
Ω |
0.36566469132016 |
Real period |
R |
2.2457414112018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
410b2 |
Quadratic twists by: -11 |