Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65598u |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-629689484783736 = -1 · 23 · 33 · 132 · 297 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 -2 13+ -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,21428,12005] |
[a1,a2,a3,a4,a6] |
Generators |
[7:399:1] [31:825:1] |
Generators of the group modulo torsion |
j |
1829276567/1058616 |
j-invariant |
L |
9.6963997481457 |
L(r)(E,1)/r! |
Ω |
0.30658979228423 |
Real period |
R |
1.3177759545136 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2262f1 |
Quadratic twists by: 29 |