Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44640b |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-3635532768600000 = -1 · 26 · 39 · 55 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -6 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10827,2868372] |
[a1,a2,a3,a4,a6] |
Generators |
[-1395:207144:125] |
Generators of the group modulo torsion |
j |
111423515328/2886003125 |
j-invariant |
L |
4.4225921128217 |
L(r)(E,1)/r! |
Ω |
0.33304493491758 |
Real period |
R |
6.6396327479329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44640bb1 89280q1 44640bd1 |
Quadratic twists by: -4 8 -3 |