Atkin-Lehner |
2+ 3- 7- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774bc |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-3655855171584 = -1 · 211 · 36 · 73 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3450,47924] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-356:1] |
Generators of the group modulo torsion |
j |
6228488375199/5014890496 |
j-invariant |
L |
4.4819669572667 |
L(r)(E,1)/r! |
Ω |
0.50818794427454 |
Real period |
R |
0.73495888807613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9086f1 |
Quadratic twists by: -3 |