Atkin-Lehner |
2- 3+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
31284a |
Isogeny class |
Conductor |
31284 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
106560 |
Modular degree for the optimal curve |
Δ |
-1484243004209328 = -1 · 24 · 39 · 112 · 794 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11+ -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55080,5309577] |
[a1,a2,a3,a4,a6] |
Generators |
[43:1738:1] |
Generators of the group modulo torsion |
j |
-58680557568000/4712959801 |
j-invariant |
L |
4.8592109808479 |
L(r)(E,1)/r! |
Ω |
0.46836190767875 |
Real period |
R |
0.86457553820057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125136j1 31284b1 |
Quadratic twists by: -4 -3 |