Atkin-Lehner |
2- 3- 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66402q |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-172116823880736 = -1 · 25 · 36 · 77 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9868,503543] |
[a1,a2,a3,a4,a6] |
Generators |
[43:981:1] |
Generators of the group modulo torsion |
j |
145789036355591/236099895584 |
j-invariant |
L |
11.866583622201 |
L(r)(E,1)/r! |
Ω |
0.39022955220982 |
Real period |
R |
3.0409238754901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7378f1 |
Quadratic twists by: -3 |