Atkin-Lehner |
5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
34225d |
Isogeny class |
Conductor |
34225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1372062286687890625 = -1 · 58 · 378 |
Discriminant |
Eigenvalues |
1 2 5+ 2 0 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,50625,-56164750] |
[a1,a2,a3,a4,a6] |
Generators |
[645535774748310:-9613446481879780:1563723465543] |
Generators of the group modulo torsion |
j |
357911/34225 |
j-invariant |
L |
9.8834871487908 |
L(r)(E,1)/r! |
Ω |
0.12842400518707 |
Real period |
R |
19.239952714436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6845c2 925c2 |
Quadratic twists by: 5 37 |