Atkin-Lehner |
2+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116032o |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-1950149824 = -1 · 26 · 77 · 37 |
Discriminant |
Eigenvalues |
2+ 2 -1 7- 3 3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-751,8457] |
[a1,a2,a3,a4,a6] |
Generators |
[138:147:8] |
Generators of the group modulo torsion |
j |
-6229504/259 |
j-invariant |
L |
9.9657170255266 |
L(r)(E,1)/r! |
Ω |
1.4648919194248 |
Real period |
R |
1.7007597824437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999767094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116032r1 58016h1 16576e1 |
Quadratic twists by: -4 8 -7 |