Atkin-Lehner |
2- 3+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94656bm |
Isogeny class |
Conductor |
94656 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-43613636749632 = -1 · 26 · 314 · 173 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 4 -1 0 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35416,2596798] |
[a1,a2,a3,a4,a6] |
Generators |
[9395:74358:125] |
Generators of the group modulo torsion |
j |
-76763457520399936/681463074213 |
j-invariant |
L |
8.2161263559427 |
L(r)(E,1)/r! |
Ω |
0.64430008322893 |
Real period |
R |
2.1253363595057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94656cc1 47328q1 |
Quadratic twists by: -4 8 |