Atkin-Lehner |
2+ 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622g |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1053696 |
Modular degree for the optimal curve |
Δ |
-3043102440656388096 = -1 · 214 · 33 · 713 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 1 3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55134,84091412] |
[a1,a2,a3,a4,a6] |
Generators |
[268:-9542:1] |
Generators of the group modulo torsion |
j |
-5834916486027/957997924352 |
j-invariant |
L |
5.5261238744291 |
L(r)(E,1)/r! |
Ω |
0.20695230584218 |
Real period |
R |
1.6689001882834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62622bl1 8946c1 |
Quadratic twists by: -3 -7 |