Atkin-Lehner |
2+ 3+ 7- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
38766h |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-45588816 = -1 · 24 · 32 · 73 · 13 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 2 13+ -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-119,549] |
[a1,a2,a3,a4,a6] |
Generators |
[26:113:1] [5:-13:1] |
Generators of the group modulo torsion |
j |
-188822850553/45588816 |
j-invariant |
L |
5.0816761268478 |
L(r)(E,1)/r! |
Ω |
1.9255487609756 |
Real period |
R |
0.21992328584609 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116298bq1 |
Quadratic twists by: -3 |