Atkin-Lehner |
2+ 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664b |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-1260502154352 = -1 · 24 · 39 · 7 · 833 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 3 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37719,-2820123] |
[a1,a2,a3,a4,a6] |
Generators |
[11902709379188:173000206519091:34550415593] |
Generators of the group modulo torsion |
j |
-18844861406976/4002509 |
j-invariant |
L |
7.6397390923343 |
L(r)(E,1)/r! |
Ω |
0.17128683424689 |
Real period |
R |
22.301010833449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41832f1 83664g1 |
Quadratic twists by: -4 -3 |