Atkin-Lehner |
2+ 3+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008b |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-17596656 = -1 · 24 · 33 · 7 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 11+ 3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-672,-6489] |
[a1,a2,a3,a4,a6] |
Generators |
[275:4531:1] |
Generators of the group modulo torsion |
j |
-2100669161728/1099791 |
j-invariant |
L |
3.8447436808546 |
L(r)(E,1)/r! |
Ω |
0.46876994614607 |
Real period |
R |
4.1008854302713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42504k1 |
Quadratic twists by: -4 |