Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35322b |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
108000 |
Modular degree for the optimal curve |
Δ |
-73501517021184 = -1 · 220 · 35 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -1 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10336,-76800] |
[a1,a2,a3,a4,a6] |
Generators |
[11200:181280:343] |
Generators of the group modulo torsion |
j |
145184269597247/87397761024 |
j-invariant |
L |
3.708599993567 |
L(r)(E,1)/r! |
Ω |
0.35716928806359 |
Real period |
R |
5.1916557743146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105966bv1 35322be1 |
Quadratic twists by: -3 29 |