Atkin-Lehner |
2+ 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
93786n |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
741888 |
Modular degree for the optimal curve |
Δ |
-1897167611690274 = -1 · 2 · 3 · 710 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11+ 6 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15656,2220618] |
[a1,a2,a3,a4,a6] |
Generators |
[-9932:67113:64] |
Generators of the group modulo torsion |
j |
-1502550553/6716226 |
j-invariant |
L |
5.4166459176198 |
L(r)(E,1)/r! |
Ω |
0.40723436283033 |
Real period |
R |
6.6505265736745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93786bb1 |
Quadratic twists by: -7 |