Atkin-Lehner |
5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605bb |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
3434924699795933225 = 52 · 79 · 237 |
Discriminant |
Eigenvalues |
-1 2 5- 7- 6 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-389355,-28327048] |
[a1,a2,a3,a4,a6] |
j |
1092727/575 |
j-invariant |
L |
3.2431566797194 |
L(r)(E,1)/r! |
Ω |
0.20269707717787 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129605j1 5635b1 |
Quadratic twists by: -7 -23 |