Atkin-Lehner |
2+ 3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
57816d |
Isogeny class |
Conductor |
57816 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
856800 |
Modular degree for the optimal curve |
Δ |
-2194086673152 = -1 · 28 · 36 · 115 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 5 11- -1 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3449460,-2465896156] |
[a1,a2,a3,a4,a6] |
Generators |
[60186:819478:27] |
Generators of the group modulo torsion |
j |
-24322575388386688000/11756723 |
j-invariant |
L |
8.3246581600459 |
L(r)(E,1)/r! |
Ω |
0.055390052999177 |
Real period |
R |
7.5145786192777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115632d1 6424a1 |
Quadratic twists by: -4 -3 |