Atkin-Lehner |
3- 13- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
83421j |
Isogeny class |
Conductor |
83421 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2623488 |
Modular degree for the optimal curve |
Δ |
-1.222672992529E+22 |
Discriminant |
Eigenvalues |
0 3- 0 -2 -1 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4471860,6446001550] |
[a1,a2,a3,a4,a6] |
Generators |
[32190214:9858938179:343] |
Generators of the group modulo torsion |
j |
-13566280108057919488000/16771920336474128163 |
j-invariant |
L |
3.6589915693568 |
L(r)(E,1)/r! |
Ω |
0.11462084214611 |
Real period |
R |
7.9806418671195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27807f1 |
Quadratic twists by: -3 |