Atkin-Lehner |
2+ 41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
47888c |
Isogeny class |
Conductor |
47888 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
88064 |
Modular degree for the optimal curve |
Δ |
1192271750144 = 210 · 41 · 734 |
Discriminant |
Eigenvalues |
2+ -2 -2 0 2 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14224,646116] |
[a1,a2,a3,a4,a6] |
Generators |
[8:730:1] [58:140:1] |
Generators of the group modulo torsion |
j |
310827559500868/1164327881 |
j-invariant |
L |
5.8655769243666 |
L(r)(E,1)/r! |
Ω |
0.86934761809498 |
Real period |
R |
1.686775463082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23944b1 |
Quadratic twists by: -4 |