Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622cp |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-37963526777503488 = -1 · 28 · 36 · 79 · 712 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-163841,-27151855] |
[a1,a2,a3,a4,a6] |
Generators |
[1039:29868:1] |
Generators of the group modulo torsion |
j |
-5671177348537/442640128 |
j-invariant |
L |
7.0305919612548 |
L(r)(E,1)/r! |
Ω |
0.11812012998726 |
Real period |
R |
3.7200432949806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000389 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6958d1 8946y1 |
Quadratic twists by: -3 -7 |