Atkin-Lehner |
7- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
58261d |
Isogeny class |
Conductor |
58261 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-5735271101 = -1 · 76 · 29 · 412 |
Discriminant |
Eigenvalues |
1 1 -3 7- 1 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1545,23517] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:71:1] [27:27:1] |
Generators of the group modulo torsion |
j |
-3463512697/48749 |
j-invariant |
L |
11.301553057525 |
L(r)(E,1)/r! |
Ω |
1.3541205332348 |
Real period |
R |
2.0865116472561 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1189a1 |
Quadratic twists by: -7 |