Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120y |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-4.0560507694449E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-706683,-382327382] |
[a1,a2,a3,a4,a6] |
Generators |
[15879017:3415984650:343] |
Generators of the group modulo torsion |
j |
-13071040729863481/13583631960000 |
j-invariant |
L |
4.6797508715341 |
L(r)(E,1)/r! |
Ω |
0.079052552996121 |
Real period |
R |
7.399746583379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6390q1 17040bb1 |
Quadratic twists by: -4 -3 |