Atkin-Lehner |
2- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99710x |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-962562250780 = -1 · 22 · 5 · 138 · 59 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-426,-47360] |
[a1,a2,a3,a4,a6] |
Generators |
[1725144:17923975:13824] |
Generators of the group modulo torsion |
j |
-1771561/199420 |
j-invariant |
L |
5.86858596455 |
L(r)(E,1)/r! |
Ω |
0.3904695743259 |
Real period |
R |
7.5147800873587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7670b1 |
Quadratic twists by: 13 |