Atkin-Lehner |
2+ 3- 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130o |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10616832 |
Modular degree for the optimal curve |
Δ |
-6.0666771982591E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-708525,-3754277339] |
[a1,a2,a3,a4,a6] |
Generators |
[177646699:573208888:103823] |
Generators of the group modulo torsion |
j |
-53958772925871656401/8321916595691520000 |
j-invariant |
L |
5.4003850487915 |
L(r)(E,1)/r! |
Ω |
0.059766479269629 |
Real period |
R |
11.294761473026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40710w1 |
Quadratic twists by: -3 |