Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
46400f |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-5133056640625000000 = -1 · 26 · 520 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-623008,-218210238] |
[a1,a2,a3,a4,a6] |
Generators |
[196363887207008408679969763582130192369286:5754946580697125256838805489568136978515625:139161613103300394958261457692809512568] |
Generators of the group modulo torsion |
j |
-26742701668677184/5133056640625 |
j-invariant |
L |
9.8976565512779 |
L(r)(E,1)/r! |
Ω |
0.084093164050161 |
Real period |
R |
58.84935275708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46400h1 23200c2 9280g1 |
Quadratic twists by: -4 8 5 |