Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4950b |
Isogeny class |
Conductor |
4950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
19008000000 = 212 · 33 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1617,24541] |
[a1,a2,a3,a4,a6] |
Generators |
[18:23:1] |
Generators of the group modulo torsion |
j |
1108717875/45056 |
j-invariant |
L |
2.6227156111773 |
L(r)(E,1)/r! |
Ω |
1.2107850794565 |
Real period |
R |
1.0830640613587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39600ce1 4950z3 198c1 54450ed1 |
Quadratic twists by: -4 -3 5 -11 |