Atkin-Lehner |
2- 3+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
76368h |
Isogeny class |
Conductor |
76368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14321664 |
Modular degree for the optimal curve |
Δ |
-1214963159924736 = -1 · 220 · 39 · 372 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -3 5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1240752712,-16821521916944] |
[a1,a2,a3,a4,a6] |
Generators |
[175676997343920552451799807506121855178532343177167516663230:196057551245334273694743260365457838204228651168492315924773186:140937472383649214437013514443486027990622539515597851] |
Generators of the group modulo torsion |
j |
-51572651927576105330987777353/296621865216 |
j-invariant |
L |
4.7385488003414 |
L(r)(E,1)/r! |
Ω |
0.012718861867029 |
Real period |
R |
93.140189151376 |
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 |
9546f1 |
Quadratic twists by: -4 |