Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
78200a |
Isogeny class |
Conductor |
78200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-1632835550000000000 = -1 · 210 · 511 · 175 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 1 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,290992,11469488] |
[a1,a2,a3,a4,a6] |
Generators |
[30396:1135000:27] |
Generators of the group modulo torsion |
j |
170312053494236/102052221875 |
j-invariant |
L |
6.2832305976212 |
L(r)(E,1)/r! |
Ω |
0.16318592416218 |
Real period |
R |
4.8129385465082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15640h1 |
Quadratic twists by: 5 |