Atkin-Lehner |
3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
114873g |
Isogeny class |
Conductor |
114873 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14198400 |
Modular degree for the optimal curve |
Δ |
-3.5352334423969E+21 |
Discriminant |
Eigenvalues |
2 3+ 2 -4 11- -7 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,3786168,376462253] |
[a1,a2,a3,a4,a6] |
Generators |
[4911333706472549216:1860966060068275703523:74325334576955392] |
Generators of the group modulo torsion |
j |
142302054182912/83811965787 |
j-invariant |
L |
9.7096743894904 |
L(r)(E,1)/r! |
Ω |
0.085428656446226 |
Real period |
R |
28.414570688005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1947b1 |
Quadratic twists by: -59 |