Atkin-Lehner |
2- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61504bi |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
15130968064 = 214 · 314 |
Discriminant |
Eigenvalues |
2- -1 -3 1 1 -7 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16657,833009] |
[a1,a2,a3,a4,a6] |
Generators |
[77:32:1] [83:124:1] |
Generators of the group modulo torsion |
j |
33781072 |
j-invariant |
L |
6.7757324633999 |
L(r)(E,1)/r! |
Ω |
1.1594517610913 |
Real period |
R |
0.4869925519097 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504c1 15376a1 61504bs1 |
Quadratic twists by: -4 8 -31 |