Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446dd |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-269800046208 = -1 · 27 · 35 · 73 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2619,57105] |
[a1,a2,a3,a4,a6] |
Generators |
[102:-975:1] |
Generators of the group modulo torsion |
j |
-5792238705079/786589056 |
j-invariant |
L |
10.236505241701 |
L(r)(E,1)/r! |
Ω |
0.94851313567152 |
Real period |
R |
0.051391236687281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446ck1 |
Quadratic twists by: -7 |