Atkin-Lehner |
2- 7+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85162t |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
35611632 |
Modular degree for the optimal curve |
Δ |
1.8611874544368E+22 |
Discriminant |
Eigenvalues |
2- 1 2 7+ 11+ -2 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1984434782,34025243389892] |
[a1,a2,a3,a4,a6] |
j |
149916654996294605365342753/3228537211322368 |
j-invariant |
L |
5.5706087740449 |
L(r)(E,1)/r! |
Ω |
0.088422362611943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85162v1 |
Quadratic twists by: -7 |