Atkin-Lehner |
2- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116032v |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1111934656 = -1 · 26 · 73 · 373 |
Discriminant |
Eigenvalues |
2- 0 1 7- 3 5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-182,1862] |
[a1,a2,a3,a4,a6] |
Generators |
[1:41:1] |
Generators of the group modulo torsion |
j |
-30371328/50653 |
j-invariant |
L |
8.1154849824353 |
L(r)(E,1)/r! |
Ω |
1.3862027968313 |
Real period |
R |
2.9272358159103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116032w1 58016o1 116032x1 |
Quadratic twists by: -4 8 -7 |