Atkin-Lehner |
3- 5- 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
118035b |
Isogeny class |
Conductor |
118035 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-5.7666120281982E+19 |
Discriminant |
Eigenvalues |
0 3- 5- 0 3 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-759342,445366255] |
[a1,a2,a3,a4,a6] |
Generators |
[433:-14063:1] |
Generators of the group modulo torsion |
j |
-66421464856352948224/79103045654296875 |
j-invariant |
L |
6.883586924791 |
L(r)(E,1)/r! |
Ω |
0.17933388216812 |
Real period |
R |
0.68543207162436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39345a1 |
Quadratic twists by: -3 |