Atkin-Lehner |
3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
96237b |
Isogeny class |
Conductor |
96237 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11520000 |
Modular degree for the optimal curve |
Δ |
-1.7342383893069E+21 |
Discriminant |
Eigenvalues |
-2 3+ -3 -2 -5 7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4609839,-4304337028] |
[a1,a2,a3,a4,a6] |
Generators |
[779195:-57170187:125] |
Generators of the group modulo torsion |
j |
-16623546901917696/2661040614977 |
j-invariant |
L |
1.761946317346 |
L(r)(E,1)/r! |
Ω |
0.051067535970546 |
Real period |
R |
2.1563923847549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999236341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96237a1 5661a1 |
Quadratic twists by: -3 17 |