Atkin-Lehner |
2- 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130ce |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
5505024 |
Modular degree for the optimal curve |
Δ |
-4.401024545864E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-181301,-1009847077] |
[a1,a2,a3,a4,a6] |
Generators |
[2631:128044:1] |
Generators of the group modulo torsion |
j |
-5601911201812801/3740809140633600 |
j-invariant |
L |
9.0630495987313 |
L(r)(E,1)/r! |
Ω |
0.075265058587799 |
Real period |
R |
1.8814859518455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999705109 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590z1 |
Quadratic twists by: -7 |