Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200cg |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
1851930000 = 24 · 33 · 54 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 -4 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,-85725] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:5:1] |
Generators of the group modulo torsion |
j |
20329747200/6859 |
j-invariant |
L |
6.58744769585 |
L(r)(E,1)/r! |
Ω |
0.61318851541245 |
Real period |
R |
0.89524503616137 |
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 |
68400bc1 34200o1 34200h1 |
Quadratic twists by: -4 -3 5 |