Atkin-Lehner |
3- 5- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
20355f |
Isogeny class |
Conductor |
20355 |
Conductor |
∏ cp |
378 |
Product of Tamagawa factors cp |
deg |
447552 |
Modular degree for the optimal curve |
Δ |
464077517220703125 = 37 · 59 · 232 · 593 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 -5 -3 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-323620,-62932244] |
[a1,a2,a3,a4,a6] |
Generators |
[-412:796:1] [-365:2587:1] |
Generators of the group modulo torsion |
j |
3748272138577458712576/464077517220703125 |
j-invariant |
L |
4.5850080834071 |
L(r)(E,1)/r! |
Ω |
0.20179220933686 |
Real period |
R |
0.06010961004972 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61065i1 101775g1 |
Quadratic twists by: -3 5 |