Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
6030o |
Isogeny class |
Conductor |
6030 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
1330479267840000 = 218 · 33 · 54 · 673 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31598,1270397] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:963:1] |
Generators of the group modulo torsion |
j |
129218842611488547/49277009920000 |
j-invariant |
L |
5.7702319201221 |
L(r)(E,1)/r! |
Ω |
0.43977693834183 |
Real period |
R |
2.1868025268593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
48240bc1 6030b3 30150d1 |
Quadratic twists by: -4 -3 5 |