Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87362w |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
6894720 |
Modular degree for the optimal curve |
Δ |
5.4224748080209E+21 |
Discriminant |
Eigenvalues |
2- 0 -3 -3 11- -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14575804,21127484799] |
[a1,a2,a3,a4,a6] |
Generators |
[993:-87859:1] |
Generators of the group modulo torsion |
j |
11382465033/180224 |
j-invariant |
L |
4.4300965413237 |
L(r)(E,1)/r! |
Ω |
0.13591136170256 |
Real period |
R |
0.38804146971667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987323 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942a1 87362m1 |
Quadratic twists by: -11 -19 |