Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58275m |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-2787912421875 = -1 · 39 · 57 · 72 · 37 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -2 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3450,-111969] |
[a1,a2,a3,a4,a6] |
Generators |
[185:2362:1] |
Generators of the group modulo torsion |
j |
-398688256/244755 |
j-invariant |
L |
4.3428293210527 |
L(r)(E,1)/r! |
Ω |
0.30300502977704 |
Real period |
R |
0.89578325734393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19425r1 11655d1 |
Quadratic twists by: -3 5 |