Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360m |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
167650560 = 28 · 35 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -3 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-401,3165] |
[a1,a2,a3,a4,a6] |
j |
569906176/13365 |
j-invariant |
L |
1.8093501690206 |
L(r)(E,1)/r! |
Ω |
1.8093502361883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64680cw1 129360ci1 |
Quadratic twists by: -4 -7 |