Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850bc |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
489888 |
Modular degree for the optimal curve |
Δ |
-1018901517480000 = -1 · 26 · 39 · 54 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,15900,-1321200] |
[a1,a2,a3,a4,a6] |
Generators |
[8320:20052:125] |
Generators of the group modulo torsion |
j |
6045109175/13856832 |
j-invariant |
L |
3.7400606147385 |
L(r)(E,1)/r! |
Ω |
0.25547119551938 |
Real period |
R |
7.3199262378993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001387 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850fz1 1650j1 |
Quadratic twists by: 5 -7 |