Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
112632h |
Isogeny class |
Conductor |
112632 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6500736 |
Modular degree for the optimal curve |
Δ |
-2.7853921641252E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -3 13- 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56067752,161572757472] |
[a1,a2,a3,a4,a6] |
Generators |
[4324:468:1] |
Generators of the group modulo torsion |
j |
-1120816166918692/1601613 |
j-invariant |
L |
10.012804119744 |
L(r)(E,1)/r! |
Ω |
0.17883551597536 |
Real period |
R |
1.5552472696178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112632m1 |
Quadratic twists by: -19 |