Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129948s |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
50484988892572416 = 28 · 35 · 710 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1089972,-437500440] |
[a1,a2,a3,a4,a6] |
Generators |
[-131970:6355:216] |
Generators of the group modulo torsion |
j |
4754905936877392/1676231739 |
j-invariant |
L |
7.7642846791289 |
L(r)(E,1)/r! |
Ω |
0.14775931672351 |
Real period |
R |
8.7578062615598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999824709 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18564i2 |
Quadratic twists by: -7 |