Atkin-Lehner |
2+ 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
99216i |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1477632 |
Modular degree for the optimal curve |
Δ |
-21320449965914112 = -1 · 211 · 319 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 5 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2346699,-1383693158] |
[a1,a2,a3,a4,a6] |
Generators |
[2637774494:61928782812:1295029] |
Generators of the group modulo torsion |
j |
-957278701301286674/14280351111 |
j-invariant |
L |
7.3096550039809 |
L(r)(E,1)/r! |
Ω |
0.060989464928561 |
Real period |
R |
14.981388599878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49608m1 33072g1 |
Quadratic twists by: -4 -3 |