Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61152bc |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
880955712 = 26 · 32 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-898,10564] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:98:1] |
Generators of the group modulo torsion |
j |
10648000/117 |
j-invariant |
L |
5.0732863224838 |
L(r)(E,1)/r! |
Ω |
1.5847194840957 |
Real period |
R |
1.6006890725525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61152br1 122304hv2 1248j1 |
Quadratic twists by: -4 8 -7 |