Atkin-Lehner |
2- 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65598ba |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
348056883712512 = 29 · 314 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 -2 13- 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-74672799,248334667077] |
[a1,a2,a3,a4,a6] |
Generators |
[5131:14930:1] |
Generators of the group modulo torsion |
j |
54753893671729783298027497/413860741632 |
j-invariant |
L |
6.6697399270215 |
L(r)(E,1)/r! |
Ω |
0.26578316381665 |
Real period |
R |
0.69707407670577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000375 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65598o1 |
Quadratic twists by: 29 |