Atkin-Lehner |
2+ 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98838o |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-10698542983008 = -1 · 25 · 36 · 176 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -4 -3 2 -1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,-157356] |
[a1,a2,a3,a4,a6] |
j |
-1/608 |
j-invariant |
L |
0.32990097422668 |
L(r)(E,1)/r! |
Ω |
0.32990072573734 |
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 |
10982c1 342g1 |
Quadratic twists by: -3 17 |