Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296cc |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4727808 |
Modular degree for the optimal curve |
Δ |
-1.6357871578702E+21 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 0 5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,340664,-1944512528] |
[a1,a2,a3,a4,a6] |
Generators |
[961466:333318159:8] |
Generators of the group modulo torsion |
j |
62851031/23514624 |
j-invariant |
L |
5.8746991210032 |
L(r)(E,1)/r! |
Ω |
0.070276354325431 |
Real period |
R |
6.9661874447627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162j1 121296de1 |
Quadratic twists by: -4 -19 |