Atkin-Lehner |
3- 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
58575r |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-1794042421875 = -1 · 35 · 57 · 113 · 71 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11- 2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1367,61894] |
[a1,a2,a3,a4,a6] |
Generators |
[38:412:1] |
Generators of the group modulo torsion |
j |
18067226624/114818715 |
j-invariant |
L |
5.4602648418422 |
L(r)(E,1)/r! |
Ω |
0.60638568652673 |
Real period |
R |
0.30015356910202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11715e1 |
Quadratic twists by: 5 |