Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525cs |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-83204296875 = -1 · 33 · 58 · 73 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 3 -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-658408,-205851656] |
[a1,a2,a3,a4,a6] |
j |
-5889731858034688/15525 |
j-invariant |
L |
1.0056039982628 |
L(r)(E,1)/r! |
Ω |
0.083800330065014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905d1 84525u1 |
Quadratic twists by: 5 -7 |