Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850bw |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
913920 |
Modular degree for the optimal curve |
Δ |
7008227069132800 = 217 · 52 · 79 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 5 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-60418,-4060988] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:782:1] |
Generators of the group modulo torsion |
j |
24176911855/6946816 |
j-invariant |
L |
14.290953351128 |
L(r)(E,1)/r! |
Ω |
0.31118618492677 |
Real period |
R |
1.3507095694363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850be1 129850bz1 |
Quadratic twists by: 5 -7 |