Atkin-Lehner |
2+ 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630d |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-161208542250 = -1 · 2 · 33 · 53 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-368,-19662] |
[a1,a2,a3,a4,a6] |
j |
-47045881/1370250 |
j-invariant |
L |
0.88844558285373 |
L(r)(E,1)/r! |
Ω |
0.44422279147865 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890gi1 6090p1 |
Quadratic twists by: -3 -7 |