Atkin-Lehner |
5+ 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
43475b |
Isogeny class |
Conductor |
43475 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
280560 |
Modular degree for the optimal curve |
Δ |
-60022671875 = -1 · 56 · 37 · 473 |
Discriminant |
Eigenvalues |
2 -3 5+ 4 -2 -1 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-47425,-3975219] |
[a1,a2,a3,a4,a6] |
Generators |
[9961406450:-2812058628117:125000] |
Generators of the group modulo torsion |
j |
-754963064303616/3841451 |
j-invariant |
L |
8.0287816413256 |
L(r)(E,1)/r! |
Ω |
0.16175867897565 |
Real period |
R |
16.544772521983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1739a1 |
Quadratic twists by: 5 |