Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
66640y |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-17763558400000 = -1 · 213 · 55 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 1 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6517,10682] |
[a1,a2,a3,a4,a6] |
Generators |
[7:238:1] |
Generators of the group modulo torsion |
j |
3112538751/1806250 |
j-invariant |
L |
5.1528506601746 |
L(r)(E,1)/r! |
Ω |
0.41549958917178 |
Real period |
R |
1.0334648524837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330q1 66640bw1 |
Quadratic twists by: -4 -7 |