Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490cc |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-29713623239880 = -1 · 23 · 33 · 5 · 317 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 5 0 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1622,-263059] |
[a1,a2,a3,a4,a6] |
j |
-19683/1240 |
j-invariant |
L |
3.4947428927599 |
L(r)(E,1)/r! |
Ω |
0.29122857966136 |
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 |
86490b1 2790s1 |
Quadratic twists by: -3 -31 |