Atkin-Lehner |
2- 5- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
94550v |
Isogeny class |
Conductor |
94550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-14538008000 = -1 · 26 · 53 · 313 · 61 |
Discriminant |
Eigenvalues |
2- -1 5- -1 -4 5 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1283,18081] |
[a1,a2,a3,a4,a6] |
Generators |
[21:20:1] [-15:192:1] |
Generators of the group modulo torsion |
j |
-1868593459013/116304064 |
j-invariant |
L |
13.351426755862 |
L(r)(E,1)/r! |
Ω |
1.2307526316008 |
Real period |
R |
0.30133834851455 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94550h1 |
Quadratic twists by: 5 |