Atkin-Lehner |
2+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
128960o |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-1611097280 = -1 · 26 · 5 · 132 · 313 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 0 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125,2047] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:403:8] |
Generators of the group modulo torsion |
j |
-3402072064/25173395 |
j-invariant |
L |
7.0040128738373 |
L(r)(E,1)/r! |
Ω |
1.288869101768 |
Real period |
R |
0.90570525058334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997103404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128960bg1 2015a1 |
Quadratic twists by: -4 8 |