Atkin-Lehner |
2- 3+ 7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642bg |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
314880 |
Modular degree for the optimal curve |
Δ |
-1854849132864 = -1 · 26 · 33 · 72 · 135 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 1 13- 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45593,3759033] |
[a1,a2,a3,a4,a6] |
Generators |
[149:-582:1] |
Generators of the group modulo torsion |
j |
-388191057324721587/68698116032 |
j-invariant |
L |
10.835895182048 |
L(r)(E,1)/r! |
Ω |
0.80844327741862 |
Real period |
R |
0.1116950677131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999893235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642e1 |
Quadratic twists by: -3 |