Atkin-Lehner |
3+ 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
54075c |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-194832258796875 = -1 · 3 · 56 · 79 · 103 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -3 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-778583,-264168307] |
[a1,a2,a3,a4,a6] |
Generators |
[1679007115477:102814346199962:423564751] |
Generators of the group modulo torsion |
j |
-3340557830582272000/12469264563 |
j-invariant |
L |
3.2207259500822 |
L(r)(E,1)/r! |
Ω |
0.080360602843709 |
Real period |
R |
20.039209737799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2163c3 |
Quadratic twists by: 5 |