Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
64600t |
Isogeny class |
Conductor |
64600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-32300000000 = -1 · 28 · 58 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 -2 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9033,327563] |
[a1,a2,a3,a4,a6] |
Generators |
[73:250:1] |
Generators of the group modulo torsion |
j |
-20380171264/8075 |
j-invariant |
L |
6.9218771578006 |
L(r)(E,1)/r! |
Ω |
1.1489253872346 |
Real period |
R |
1.5061633320548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129200c1 12920b1 |
Quadratic twists by: -4 5 |