Atkin-Lehner |
5- 7- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
120575k |
Isogeny class |
Conductor |
120575 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
11836800 |
Modular degree for the optimal curve |
Δ |
-1.804546613611E+23 |
Discriminant |
Eigenvalues |
1 2 5- 7- -3 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-33017950,-75845227875] |
[a1,a2,a3,a4,a6] |
Generators |
[31260:5410245:1] |
Generators of the group modulo torsion |
j |
-2038186920264323387957/92392786616884481 |
j-invariant |
L |
10.907214381358 |
L(r)(E,1)/r! |
Ω |
0.031407496302197 |
Real period |
R |
1.9293366911881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120575i1 |
Quadratic twists by: 5 |