Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210ct |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
12083904 |
Modular degree for the optimal curve |
Δ |
-1.0242390087634E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 5 1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1491098,15414117081] |
[a1,a2,a3,a4,a6] |
Generators |
[6503:526551:1] |
Generators of the group modulo torsion |
j |
-143186041/40000000 |
j-invariant |
L |
11.577914972655 |
L(r)(E,1)/r! |
Ω |
0.086416850330147 |
Real period |
R |
2.4810651131892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13690d1 123210bl1 |
Quadratic twists by: -3 37 |