Atkin-Lehner |
2+ 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
74160d |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-151058580480 = -1 · 210 · 33 · 5 · 1033 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 -2 -2 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4683,-124758] |
[a1,a2,a3,a4,a6] |
Generators |
[99:618:1] [139:1382:1] |
Generators of the group modulo torsion |
j |
-410801919948/5463635 |
j-invariant |
L |
8.4691861493658 |
L(r)(E,1)/r! |
Ω |
0.28833332209021 |
Real period |
R |
2.4477417571005 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37080j1 74160h1 |
Quadratic twists by: -4 -3 |