Atkin-Lehner |
2+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85952c |
Isogeny class |
Conductor |
85952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
94464 |
Modular degree for the optimal curve |
Δ |
9119249344 = 26 · 172 · 793 |
Discriminant |
Eigenvalues |
2+ 3 -3 1 -2 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1219,-15724] |
[a1,a2,a3,a4,a6] |
Generators |
[5556:78472:27] |
Generators of the group modulo torsion |
j |
3130075801152/142488271 |
j-invariant |
L |
10.047480223742 |
L(r)(E,1)/r! |
Ω |
0.81025286614026 |
Real period |
R |
6.2002127033589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85952h1 42976a1 |
Quadratic twists by: -4 8 |