Atkin-Lehner |
2+ 3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786bn |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-19662283481148 = -1 · 22 · 35 · 78 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4678,174584] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:232:1] [-9:367:1] |
Generators of the group modulo torsion |
j |
96260823287/167126652 |
j-invariant |
L |
9.0522446526501 |
L(r)(E,1)/r! |
Ω |
0.46951324866708 |
Real period |
R |
0.96400311150313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000563 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398f1 |
Quadratic twists by: -7 |