Atkin-Lehner |
2+ 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730bj |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
140313600 |
Modular degree for the optimal curve |
Δ |
-4.5917688721545E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-953638908,34516484437306] |
[a1,a2,a3,a4,a6] |
j |
-815243522220777542426083369/3902939142835492884096000 |
j-invariant |
L |
3.7047250310332 |
L(r)(E,1)/r! |
Ω |
0.025727257452304 |
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 |
12390a1 |
Quadratic twists by: -7 |