Atkin-Lehner |
2- 3+ 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31020d |
Isogeny class |
Conductor |
31020 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-1.5568919824219E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1199901,540748026] |
[a1,a2,a3,a4,a6] |
Generators |
[43494:29808810:1331] |
Generators of the group modulo torsion |
j |
-11940990071354077609984/973057489013671875 |
j-invariant |
L |
3.3218501443739 |
L(r)(E,1)/r! |
Ω |
0.21646503474648 |
Real period |
R |
7.6729485393896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080by1 93060q1 |
Quadratic twists by: -4 -3 |