Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62622bm |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-4603582310796 = -1 · 22 · 39 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 3 -3 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3886,-45251] |
[a1,a2,a3,a4,a6] |
Generators |
[254:2515:8] |
Generators of the group modulo torsion |
j |
2803221/1988 |
j-invariant |
L |
7.537094073288 |
L(r)(E,1)/r! |
Ω |
0.43570184375108 |
Real period |
R |
2.1623428329262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62622h1 8946n1 |
Quadratic twists by: -3 -7 |