Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360fr |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-17999903958220800 = -1 · 214 · 32 · 52 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14520,6494832] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:2640:1] |
Generators of the group modulo torsion |
j |
-2048383/108900 |
j-invariant |
L |
7.3177244718092 |
L(r)(E,1)/r! |
Ω |
0.32146033106176 |
Real period |
R |
1.4227503037105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999090226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170ba1 129360gu1 |
Quadratic twists by: -4 -7 |