Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144ce |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.100251888246E+23 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21528737,-44314749375] |
[a1,a2,a3,a4,a6] |
Generators |
[42540220577271733988335079274639171432384005383062292862312934516969489:5937233070120217099345116650719403684266225414598978464078341337059996340:2062265399804617802970854929964062158081083588412918101546727819987] |
Generators of the group modulo torsion |
j |
-4209586785160189454377/801182513521564416 |
j-invariant |
L |
7.2107491077138 |
L(r)(E,1)/r! |
Ω |
0.034686754243687 |
Real period |
R |
103.94096053288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144y3 19536bd4 |
Quadratic twists by: -4 8 |