Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120400br |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-329218750000 = -1 · 24 · 510 · 72 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 5 -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3333,-80162] |
[a1,a2,a3,a4,a6] |
Generators |
[28362:1688743:8] |
Generators of the group modulo torsion |
j |
-26214400/2107 |
j-invariant |
L |
5.3764303732109 |
L(r)(E,1)/r! |
Ω |
0.31271920382979 |
Real period |
R |
8.5962587748176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999502631 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30100d1 120400cd1 |
Quadratic twists by: -4 5 |