Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624c |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
144768 |
Modular degree for the optimal curve |
Δ |
-1135497163632 = -1 · 24 · 3 · 138 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 1 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-732,52077] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1183:1] |
Generators of the group modulo torsion |
j |
-3328/87 |
j-invariant |
L |
6.5066628410987 |
L(r)(E,1)/r! |
Ω |
0.72743618243173 |
Real period |
R |
1.4907751733478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054273 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117624bf1 |
Quadratic twists by: 13 |