Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63700bs |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
62640 |
Modular degree for the optimal curve |
Δ |
-63700000000 = -1 · 28 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 5 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,292,-12088] |
[a1,a2,a3,a4,a6] |
Generators |
[26131:229200:343] |
Generators of the group modulo torsion |
j |
560/13 |
j-invariant |
L |
10.051538354781 |
L(r)(E,1)/r! |
Ω |
0.53546882762837 |
Real period |
R |
6.2571574887058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000488 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63700o1 63700bf1 |
Quadratic twists by: 5 -7 |