Atkin-Lehner |
2+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
60200g |
Isogeny class |
Conductor |
60200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-210700000000 = -1 · 28 · 58 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 3 5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,625,21250] |
[a1,a2,a3,a4,a6] |
Generators |
[75:700:1] |
Generators of the group modulo torsion |
j |
270000/2107 |
j-invariant |
L |
6.7082218707617 |
L(r)(E,1)/r! |
Ω |
0.72951492297177 |
Real period |
R |
0.76628794235339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120400o1 60200l1 |
Quadratic twists by: -4 5 |