Atkin-Lehner |
2- 3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550dp |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-5174820000 = -1 · 25 · 33 · 54 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 -5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-305,4097] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:40:1] [-5:76:1] |
Generators of the group modulo torsion |
j |
-185371875/306656 |
j-invariant |
L |
16.582951379841 |
L(r)(E,1)/r! |
Ω |
1.2197984053328 |
Real period |
R |
0.22658049216943 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550t1 116550i1 |
Quadratic twists by: -3 5 |