Atkin-Lehner |
2- 3+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932b |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
852480 |
Modular degree for the optimal curve |
Δ |
55385563855195728 = 24 · 33 · 710 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-437064,110637697] |
[a1,a2,a3,a4,a6] |
Generators |
[-724:6897:1] |
Generators of the group modulo torsion |
j |
21373471851038244864/128207323738879 |
j-invariant |
L |
7.6966208169395 |
L(r)(E,1)/r! |
Ω |
0.35532674952508 |
Real period |
R |
3.6101141772183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85932f1 |
Quadratic twists by: -3 |