Atkin-Lehner |
2- 7+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
68306t |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-317268255248 = -1 · 24 · 74 · 173 · 412 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ -1 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,881,-24795] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-308:1] |
Generators of the group modulo torsion |
j |
31494046703/132140048 |
j-invariant |
L |
5.7409063913247 |
L(r)(E,1)/r! |
Ω |
0.48900684253505 |
Real period |
R |
0.48916377478635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68306x1 |
Quadratic twists by: -7 |