Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bi |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
5712366214840320 = 220 · 33 · 5 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47105,1519617] |
[a1,a2,a3,a4,a6] |
Generators |
[213313:1985284:6859] |
Generators of the group modulo torsion |
j |
1092727/540 |
j-invariant |
L |
5.778732485223 |
L(r)(E,1)/r! |
Ω |
0.37884531850891 |
Real period |
R |
7.6267703504512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040gv1 1470o1 47040cj1 |
Quadratic twists by: -4 8 -7 |