Atkin-Lehner |
2- 3- 31- 59- |
Signs for the Atkin-Lehner involutions |
Class |
87792j |
Isogeny class |
Conductor |
87792 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
210816 |
Modular degree for the optimal curve |
Δ |
-22937327345664 = -1 · 213 · 33 · 313 · 592 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 -1 -5 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7064,-326892] |
[a1,a2,a3,a4,a6] |
Generators |
[1246:43896:1] |
Generators of the group modulo torsion |
j |
-9518692876057/5599933434 |
j-invariant |
L |
10.014510327919 |
L(r)(E,1)/r! |
Ω |
0.25352843024664 |
Real period |
R |
0.54861863460313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10974b1 |
Quadratic twists by: -4 |