Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
90405cb |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-12922810281675 = -1 · 37 · 52 · 78 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -5 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-147,-172958] |
[a1,a2,a3,a4,a6] |
Generators |
[112:-1103:1] |
Generators of the group modulo torsion |
j |
-4096/150675 |
j-invariant |
L |
3.0149092649688 |
L(r)(E,1)/r! |
Ω |
0.32378919959155 |
Real period |
R |
1.1639167038167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30135f1 12915h1 |
Quadratic twists by: -3 -7 |