Atkin-Lehner |
3- 5- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73935m |
Isogeny class |
Conductor |
73935 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
224256 |
Modular degree for the optimal curve |
Δ |
-6813054429075 = -1 · 310 · 52 · 31 · 533 |
Discriminant |
Eigenvalues |
0 3- 5- -3 0 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-103242,12768907] |
[a1,a2,a3,a4,a6] |
Generators |
[85:2146:1] |
Generators of the group modulo torsion |
j |
-166941922713370624/9345753675 |
j-invariant |
L |
5.1882572501302 |
L(r)(E,1)/r! |
Ω |
0.70782478075356 |
Real period |
R |
0.30541087476753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976877 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24645a1 |
Quadratic twists by: -3 |