Atkin-Lehner |
3- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
124425k |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
29030400 |
Modular degree for the optimal curve |
Δ |
1.3655187248585E+24 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 3 3 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-118971075,-496296543344] |
[a1,a2,a3,a4,a6] |
Generators |
[-6145:52337:1] |
Generators of the group modulo torsion |
j |
16349343377598980263936/119880930577423365 |
j-invariant |
L |
3.6756986157246 |
L(r)(E,1)/r! |
Ω |
0.045733155525882 |
Real period |
R |
3.3488637839714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41475c1 24885g1 |
Quadratic twists by: -3 5 |