Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
30900f |
Isogeny class |
Conductor |
30900 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-11124000000 = -1 · 28 · 33 · 56 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 5 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6508,199988] |
[a1,a2,a3,a4,a6] |
Generators |
[47:12:1] |
Generators of the group modulo torsion |
j |
-7622072656/2781 |
j-invariant |
L |
7.3447364092224 |
L(r)(E,1)/r! |
Ω |
1.254032286098 |
Real period |
R |
1.9522985946068 |
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 |
123600bb1 92700g1 1236a1 |
Quadratic twists by: -4 -3 5 |