Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200dh |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-1636214272000000000 = -1 · 218 · 59 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,91167,60654463] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:7168:1] |
Generators of the group modulo torsion |
j |
163667323/3195731 |
j-invariant |
L |
4.5958251929921 |
L(r)(E,1)/r! |
Ω |
0.19902891500021 |
Real period |
R |
2.8864054737904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200hc1 1925l1 123200co1 |
Quadratic twists by: -4 8 5 |