Atkin-Lehner |
2- 3+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
64752j |
Isogeny class |
Conductor |
64752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-76533755904 = -1 · 212 · 36 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -2 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2712,56880] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:270:1] |
Generators of the group modulo torsion |
j |
-538757027353/18684999 |
j-invariant |
L |
7.2196573366448 |
L(r)(E,1)/r! |
Ω |
1.0816999191002 |
Real period |
R |
1.6685906157838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000313 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4047b1 |
Quadratic twists by: -4 |