Atkin-Lehner |
2+ 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800m |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
319680000 = 29 · 33 · 54 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2808,58212] |
[a1,a2,a3,a4,a6] |
Generators |
[32:10:1] |
Generators of the group modulo torsion |
j |
7654550600/999 |
j-invariant |
L |
4.4890613541615 |
L(r)(E,1)/r! |
Ω |
1.6545776714526 |
Real period |
R |
0.45218602008494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800cp1 88800ca1 |
Quadratic twists by: -4 5 |