Atkin-Lehner |
2- 7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
87472h |
Isogeny class |
Conductor |
87472 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
-846698722600665088 = -1 · 214 · 75 · 112 · 714 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11- 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-585875,178192978] |
[a1,a2,a3,a4,a6] |
Generators |
[391:2982:1] |
Generators of the group modulo torsion |
j |
-5429735369103515625/206713555322428 |
j-invariant |
L |
6.942504384585 |
L(r)(E,1)/r! |
Ω |
0.2796136695213 |
Real period |
R |
0.62072290672144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10934a1 |
Quadratic twists by: -4 |