Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966f |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
121927680 |
Modular degree for the optimal curve |
Δ |
1.569507574527E+26 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 6 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3768376924,89035255022176] |
[a1,a2,a3,a4,a6] |
Generators |
[-1214844:350049460:27] |
Generators of the group modulo torsion |
j |
42531320912955257257/1127938881456 |
j-invariant |
L |
3.3847577965272 |
L(r)(E,1)/r! |
Ω |
0.053500916544123 |
Real period |
R |
7.9081771259254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966cf1 4998k1 |
Quadratic twists by: -7 17 |