Atkin-Lehner |
2+ 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216g |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-474439258783152 = -1 · 24 · 37 · 136 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 6 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18690,-361969] |
[a1,a2,a3,a4,a6] |
j |
61901917952000/40675519443 |
j-invariant |
L |
1.1985589890601 |
L(r)(E,1)/r! |
Ω |
0.29963977168992 |
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 |
49608d1 33072b1 |
Quadratic twists by: -4 -3 |