Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65598k |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-573157362149818368 = -1 · 216 · 3 · 132 · 297 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,185843,-19371256] |
[a1,a2,a3,a4,a6] |
Generators |
[640305888177:36759904008250:194104539] |
Generators of the group modulo torsion |
j |
1193377118543/963575808 |
j-invariant |
L |
5.4321291027534 |
L(r)(E,1)/r! |
Ω |
0.16136533528113 |
Real period |
R |
16.831772120653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2262k1 |
Quadratic twists by: 29 |