Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129948bd |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
123712537223184 = 24 · 3 · 79 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 2 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12462,-23451] |
[a1,a2,a3,a4,a6] |
Generators |
[-2949:5831:27] |
Generators of the group modulo torsion |
j |
331527424/191607 |
j-invariant |
L |
7.2205101511542 |
L(r)(E,1)/r! |
Ω |
0.49401648261077 |
Real period |
R |
2.4359882426207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000126515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129948r1 |
Quadratic twists by: -7 |