Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400fx |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
2.4673134912356E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -4 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2303625,1324364375] |
[a1,a2,a3,a4,a6] |
j |
296723207944960/5415228513 |
j-invariant |
L |
0.42555803484269 |
L(r)(E,1)/r! |
Ω |
0.21277901879758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17100bg1 22800ck1 68400ed1 |
Quadratic twists by: -4 -3 5 |