Atkin-Lehner |
3- 5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
59085c |
Isogeny class |
Conductor |
59085 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
240768 |
Modular degree for the optimal curve |
Δ |
-85628322179595 = -1 · 317 · 5 · 13 · 1012 |
Discriminant |
Eigenvalues |
-2 3- 5+ 3 -3 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7563,512154] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1093:1] [81:656:1] |
Generators of the group modulo torsion |
j |
-65626385453056/117459975555 |
j-invariant |
L |
5.3130296836854 |
L(r)(E,1)/r! |
Ω |
0.54155475170043 |
Real period |
R |
1.2263371494309 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19695b1 |
Quadratic twists by: -3 |