Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725v |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3483648 |
Modular degree for the optimal curve |
Δ |
9.9742772891687E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4313813,-3416736094] |
[a1,a2,a3,a4,a6] |
j |
117713838907729/1322517105 |
j-invariant |
L |
1.2579411079433 |
L(r)(E,1)/r! |
Ω |
0.10482843166661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745s1 6825b1 |
Quadratic twists by: 5 13 |