Atkin-Lehner |
2+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
20600j |
Isogeny class |
Conductor |
20600 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
9973440 |
Modular degree for the optimal curve |
Δ |
-5.219092735317E+27 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 5 -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,430226792,-532845297588] |
[a1,a2,a3,a4,a6] |
Generators |
[18280051807017:3666330521648250:1003003001] |
Generators of the group modulo torsion |
j |
2201689526159049426614/1304773183829244583 |
j-invariant |
L |
8.0117374979138 |
L(r)(E,1)/r! |
Ω |
0.025182591825768 |
Real period |
R |
17.674770362852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41200o1 20600v1 |
Quadratic twists by: -4 5 |