Atkin-Lehner |
2+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65366h |
Isogeny class |
Conductor |
65366 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-4049708196494492 = -1 · 22 · 76 · 233 · 294 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 2 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15052,3146940] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:1756:1] |
Generators of the group modulo torsion |
j |
-3205784543625/34421951708 |
j-invariant |
L |
3.5107291197164 |
L(r)(E,1)/r! |
Ω |
0.37426094903379 |
Real period |
R |
1.5634052158922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1334b1 |
Quadratic twists by: -7 |