Atkin-Lehner |
3- 7+ 29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
129717a |
Isogeny class |
Conductor |
129717 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
118784 |
Modular degree for the optimal curve |
Δ |
-172767867111 = -1 · 310 · 72 · 292 · 71 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 2 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-131,-19974] |
[a1,a2,a3,a4,a6] |
Generators |
[286:987:8] |
Generators of the group modulo torsion |
j |
-338608873/236992959 |
j-invariant |
L |
4.0666976546891 |
L(r)(E,1)/r! |
Ω |
0.45767945802988 |
Real period |
R |
2.2213678209949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999338462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43239a1 |
Quadratic twists by: -3 |