Atkin-Lehner |
2+ 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
113760a |
Isogeny class |
Conductor |
113760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-1348056000 = -1 · 26 · 33 · 53 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33,-1768] |
[a1,a2,a3,a4,a6] |
Generators |
[3095:14028:125] |
Generators of the group modulo torsion |
j |
-2299968/780125 |
j-invariant |
L |
7.9469854205475 |
L(r)(E,1)/r! |
Ω |
0.68234329550004 |
Real period |
R |
5.8233043557231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113760c1 113760bb1 |
Quadratic twists by: -4 -3 |