Atkin-Lehner |
3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525t |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-9058302033046875 = -1 · 34 · 57 · 76 · 233 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 2 -2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,36342,3710468] |
[a1,a2,a3,a4,a6] |
Generators |
[72:-2588:1] |
Generators of the group modulo torsion |
j |
2887553024/4927635 |
j-invariant |
L |
3.0553448728603 |
L(r)(E,1)/r! |
Ω |
0.28135515250222 |
Real period |
R |
0.45247451563421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905u1 1725p1 |
Quadratic twists by: 5 -7 |