Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208bi |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-754640216064 = -1 · 213 · 33 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -6 4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3936,-102528] |
[a1,a2,a3,a4,a6] |
Generators |
[104:776:1] |
Generators of the group modulo torsion |
j |
-13997521/1566 |
j-invariant |
L |
4.0564086541346 |
L(r)(E,1)/r! |
Ω |
0.29948029602086 |
Real period |
R |
3.3862066288799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8526w1 1392m1 |
Quadratic twists by: -4 -7 |