Atkin-Lehner |
2+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41624d |
Isogeny class |
Conductor |
41624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3877632 |
Modular degree for the optimal curve |
Δ |
191972707397977088 = 210 · 119 · 433 |
Discriminant |
Eigenvalues |
2+ -2 4 -4 11+ 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35271056,80614370032] |
[a1,a2,a3,a4,a6] |
Generators |
[-5608615594956:-135807318348320:849278123] |
Generators of the group modulo torsion |
j |
2009763657953996/79507 |
j-invariant |
L |
5.1685438858174 |
L(r)(E,1)/r! |
Ω |
0.2361720434103 |
Real period |
R |
21.884655826274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83248h1 41624k1 |
Quadratic twists by: -4 -11 |