Atkin-Lehner |
2- 3- 5- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
126990cd |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
792 |
Product of Tamagawa factors cp |
deg |
5018112 |
Modular degree for the optimal curve |
Δ |
-3.554907264E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 -2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-604877,-924879499] |
[a1,a2,a3,a4,a6] |
Generators |
[1551:42424:1] |
Generators of the group modulo torsion |
j |
-33573508167835918729/487641600000000000 |
j-invariant |
L |
11.388975991763 |
L(r)(E,1)/r! |
Ω |
0.072888123922419 |
Real period |
R |
0.19728892964499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000166297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42330l1 |
Quadratic twists by: -3 |