Atkin-Lehner |
2+ 3+ 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920d |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
10076160 |
Modular degree for the optimal curve |
Δ |
-1.3472932399395E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37674616,-89011387520] |
[a1,a2,a3,a4,a6] |
Generators |
[33656:6063408:1] |
Generators of the group modulo torsion |
j |
-5775243105884888996916196/1315716054628412775 |
j-invariant |
L |
6.6177478342373 |
L(r)(E,1)/r! |
Ω |
0.030468523847338 |
Real period |
R |
4.5249893710737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63960r1 |
Quadratic twists by: -4 |