Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400cn |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-1.3286585670255E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1478625,1611418750] |
[a1,a2,a3,a4,a6] |
Generators |
[27945:5524312:125] |
Generators of the group modulo torsion |
j |
980844844912/3645153819 |
j-invariant |
L |
4.3828366699979 |
L(r)(E,1)/r! |
Ω |
0.10844248259467 |
Real period |
R |
10.104058310629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34200cz1 22800bj1 68400ck1 |
Quadratic twists by: -4 -3 5 |