Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680g |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
1534107405600000 = 28 · 35 · 55 · 72 · 115 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-615785,-185776275] |
[a1,a2,a3,a4,a6] |
Generators |
[-455:50:1] |
Generators of the group modulo torsion |
j |
2058617635951442944/122298103125 |
j-invariant |
L |
5.6047316396406 |
L(r)(E,1)/r! |
Ω |
0.17042910666979 |
Real period |
R |
1.6443000108918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360cy1 64680o1 |
Quadratic twists by: -4 -7 |