Atkin-Lehner |
2+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216g |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-40991516819456 = -1 · 215 · 79 · 31 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 0 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7905,-412609] |
[a1,a2,a3,a4,a6] |
j |
-14172488/10633 |
j-invariant |
L |
3.9225679267482 |
L(r)(E,1)/r! |
Ω |
0.24516050032992 |
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 |
97216x1 48608c1 13888j1 |
Quadratic twists by: -4 8 -7 |