Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550de |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-305943750000 = -1 · 24 · 33 · 58 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,745,25247] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:130:1] |
Generators of the group modulo torsion |
j |
108531333/725200 |
j-invariant |
L |
10.031463400574 |
L(r)(E,1)/r! |
Ω |
0.70382119798728 |
Real period |
R |
0.89080360503574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116550j1 23310b1 |
Quadratic twists by: -3 5 |