Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
3030q |
Isogeny class |
Conductor |
3030 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
116352000 = 210 · 32 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 2 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295,1757] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:66:1] |
Generators of the group modulo torsion |
j |
2839760855281/116352000 |
j-invariant |
L |
4.0892895011411 |
L(r)(E,1)/r! |
Ω |
1.8511366407832 |
Real period |
R |
0.14727130027567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24240bl1 96960bh1 9090f1 15150l1 |
Quadratic twists by: -4 8 -3 5 |