Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8050a |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-4285065312500000 = -1 · 25 · 510 · 72 · 234 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -5 -2 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24075,3452125] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1851:1] |
Generators of the group modulo torsion |
j |
-158034076225/438790688 |
j-invariant |
L |
2.089638238093 |
L(r)(E,1)/r! |
Ω |
0.38565063809652 |
Real period |
R |
1.3546186831215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64400bx1 72450dx1 8050u1 56350e1 |
Quadratic twists by: -4 -3 5 -7 |