Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129948d |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
548352 |
Modular degree for the optimal curve |
Δ |
3852639567504 = 24 · 33 · 79 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 6 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-244330,46566493] |
[a1,a2,a3,a4,a6] |
Generators |
[-3558:65513:8] |
Generators of the group modulo torsion |
j |
2498351450368/5967 |
j-invariant |
L |
6.912402742464 |
L(r)(E,1)/r! |
Ω |
0.6784907117312 |
Real period |
R |
5.0939552684075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000103128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129948bk1 |
Quadratic twists by: -7 |