Atkin-Lehner |
2+ 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45936g |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-258258806784 = -1 · 211 · 33 · 115 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 11- -5 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1317,16106] |
[a1,a2,a3,a4,a6] |
Generators |
[1:132:1] [10:174:1] |
Generators of the group modulo torsion |
j |
4568644026/4670479 |
j-invariant |
L |
8.1799831472194 |
L(r)(E,1)/r! |
Ω |
0.64895971989722 |
Real period |
R |
0.31511906272536 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22968l1 45936e1 |
Quadratic twists by: -4 -3 |