Atkin-Lehner |
5- 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
59225h |
Isogeny class |
Conductor |
59225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2112320 |
Modular degree for the optimal curve |
Δ |
-7.0550377279732E+19 |
Discriminant |
Eigenvalues |
2 0 5- 3 2 4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,74125,-404042969] |
[a1,a2,a3,a4,a6] |
Generators |
[2935462407307790469748856:35720409899297267522409511:3881043067623306182144] |
Generators of the group modulo torsion |
j |
23061512761344/36121793167223 |
j-invariant |
L |
13.762631695395 |
L(r)(E,1)/r! |
Ω |
0.090561656610424 |
Real period |
R |
37.992435790454 |
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 |
59225j1 |
Quadratic twists by: 5 |