Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472bu |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
791623743045632 = 226 · 74 · 173 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48620,-3898032] |
[a1,a2,a3,a4,a6] |
j |
9869198625/614656 |
j-invariant |
L |
1.2910622175309 |
L(r)(E,1)/r! |
Ω |
0.32276523711515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472y1 32368g1 129472cu1 |
Quadratic twists by: -4 8 17 |