Atkin-Lehner |
2+ 3- 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64170j |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
655360 |
Modular degree for the optimal curve |
Δ |
-34213987536076800 = -1 · 220 · 310 · 52 · 23 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,75960,3758400] |
[a1,a2,a3,a4,a6] |
Generators |
[315:7515:1] |
Generators of the group modulo torsion |
j |
66488699132300159/46932767539200 |
j-invariant |
L |
4.8818016486232 |
L(r)(E,1)/r! |
Ω |
0.23314375074598 |
Real period |
R |
2.6173774940179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390q1 |
Quadratic twists by: -3 |