Atkin-Lehner |
2+ 3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760o |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-16321668480000 = -1 · 210 · 38 · 54 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1984,-190716] |
[a1,a2,a3,a4,a6] |
Generators |
[64:450:1] |
Generators of the group modulo torsion |
j |
843004401404/15939129375 |
j-invariant |
L |
7.9170754855528 |
L(r)(E,1)/r! |
Ω |
0.33861581215765 |
Real period |
R |
0.73064694578408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880a1 |
Quadratic twists by: -4 |