Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320bh |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
336856320 = 28 · 36 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -1 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-785,8163] |
[a1,a2,a3,a4,a6] |
Generators |
[13:18:1] |
Generators of the group modulo torsion |
j |
579613696/3645 |
j-invariant |
L |
7.1201638322085 |
L(r)(E,1)/r! |
Ω |
1.7190547209129 |
Real period |
R |
0.34515887062744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86640l1 129960t1 43320e1 |
Quadratic twists by: -4 -3 -19 |