Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360ci |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
19723920733440 = 28 · 35 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19665,-1046277] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:147:1] |
Generators of the group modulo torsion |
j |
569906176/13365 |
j-invariant |
L |
9.8279965280553 |
L(r)(E,1)/r! |
Ω |
0.40373331733978 |
Real period |
R |
1.6228528487753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64680bp1 129360m1 |
Quadratic twists by: -4 -7 |