Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984cv |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
315 |
Product of Tamagawa factors cp |
deg |
4999680 |
Modular degree for the optimal curve |
Δ |
-2.5539125849748E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -4 -2 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1867476,2224803654] |
[a1,a2,a3,a4,a6] |
Generators |
[2325:138348:1] |
Generators of the group modulo torsion |
j |
11254043592436673822912/39904884140230993401 |
j-invariant |
L |
10.217124937354 |
L(r)(E,1)/r! |
Ω |
0.10249879819746 |
Real period |
R |
0.31644582993226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984bs1 40992d1 |
Quadratic twists by: -4 8 |