Atkin-Lehner |
2+ 3- 7+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154u |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1499136 |
Modular degree for the optimal curve |
Δ |
14496291661571748 = 22 · 39 · 78 · 19 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 0 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-147285,-20934207] |
[a1,a2,a3,a4,a6] |
j |
484700424059975761/19885173747012 |
j-invariant |
L |
1.9545539225723 |
L(r)(E,1)/r! |
Ω |
0.24431926851362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32718m1 |
Quadratic twists by: -3 |