Atkin-Lehner |
2+ 3- 7+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154t |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
9667776384 = 27 · 36 · 7 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 0 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1314,-17388] |
[a1,a2,a3,a4,a6] |
j |
344324701729/13261696 |
j-invariant |
L |
1.5896233913869 |
L(r)(E,1)/r! |
Ω |
0.79481168054565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906j1 |
Quadratic twists by: -3 |