Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320bf |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
658636800 = 217 · 3 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-857601,-305972385] |
[a1,a2,a3,a4,a6] |
Generators |
[59721993140:1713892431669:39304000] |
Generators of the group modulo torsion |
j |
532194189377299202/5025 |
j-invariant |
L |
6.0512206325973 |
L(r)(E,1)/r! |
Ω |
0.15688383346156 |
Real period |
R |
19.285673031363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320bs4 8040i3 |
Quadratic twists by: -4 8 |