Atkin-Lehner |
2+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
60200d |
Isogeny class |
Conductor |
60200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-337120000 = -1 · 28 · 54 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -4 -2 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,167,363] |
[a1,a2,a3,a4,a6] |
Generators |
[13:70:1] [-1:14:1] |
Generators of the group modulo torsion |
j |
3200000/2107 |
j-invariant |
L |
6.7759119334257 |
L(r)(E,1)/r! |
Ω |
1.0710381861527 |
Real period |
R |
0.26360373284828 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120400t1 60200q1 |
Quadratic twists by: -4 5 |