Atkin-Lehner |
2+ 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99710n |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-94126240 = -1 · 25 · 5 · 132 · 592 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 3 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1,-467] |
[a1,a2,a3,a4,a6] |
Generators |
[9:10:1] |
Generators of the group modulo torsion |
j |
351/556960 |
j-invariant |
L |
4.6541220177907 |
L(r)(E,1)/r! |
Ω |
0.87319948878021 |
Real period |
R |
2.6649820968341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99710q1 |
Quadratic twists by: 13 |