Atkin-Lehner |
3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525l |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-369796875 = -1 · 3 · 56 · 73 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 5 -4 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-583,-5307] |
[a1,a2,a3,a4,a6] |
Generators |
[33:101:1] [47:262:1] |
Generators of the group modulo torsion |
j |
-4096000/69 |
j-invariant |
L |
8.3995108212196 |
L(r)(E,1)/r! |
Ω |
0.48523934509445 |
Real period |
R |
4.3275091488119 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3381m1 84525bu1 |
Quadratic twists by: 5 -7 |