Atkin-Lehner |
2- 3+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7068d |
Isogeny class |
Conductor |
7068 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-486927214128 = -1 · 24 · 35 · 194 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -4 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3649,92470] |
[a1,a2,a3,a4,a6] |
Generators |
[6:266:1] |
Generators of the group modulo torsion |
j |
-335926551396352/30432950883 |
j-invariant |
L |
3.3830570590214 |
L(r)(E,1)/r! |
Ω |
0.91160419316429 |
Real period |
R |
1.8555515016218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28272g1 113088h1 21204e1 |
Quadratic twists by: -4 8 -3 |