Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805k |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
137479680 |
Modular degree for the optimal curve |
Δ |
1.4362564478481E+31 |
Discriminant |
Eigenvalues |
1 -1 5+ 7- -2 -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7172242333,-146332236105838] |
[a1,a2,a3,a4,a6] |
j |
172032746578729129/60555631504375 |
j-invariant |
L |
0.27008872086849 |
L(r)(E,1)/r! |
Ω |
0.016880545304845 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10115h1 70805bo1 |
Quadratic twists by: -7 17 |