Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966bw |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
9289728 |
Modular degree for the optimal curve |
Δ |
-4.980488525105E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23389210,44840801996] |
[a1,a2,a3,a4,a6] |
Generators |
[5872:-334564:1] |
Generators of the group modulo torsion |
j |
-170915990723796079/6015674034432 |
j-invariant |
L |
7.0204408200999 |
L(r)(E,1)/r! |
Ω |
0.11209056213202 |
Real period |
R |
1.1184261386953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004398 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84966x1 4998e1 |
Quadratic twists by: -7 17 |