Atkin-Lehner |
2- 3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
93786dd |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-3364325314333175808 = -1 · 212 · 34 · 77 · 114 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,360296,29334080] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:2900:1] [-52:3260:1] |
Generators of the group modulo torsion |
j |
43965672301505807/28596293332992 |
j-invariant |
L |
17.212430725185 |
L(r)(E,1)/r! |
Ω |
0.15686653242706 |
Real period |
R |
1.1429853813986 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995829 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13398z1 |
Quadratic twists by: -7 |