Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
90650de |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-391402870276096000 = -1 · 221 · 53 · 79 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-958915,-362436413] |
[a1,a2,a3,a4,a6] |
Generators |
[1339:26770:1] |
Generators of the group modulo torsion |
j |
-6630791484555909/26614956032 |
j-invariant |
L |
8.9862455714156 |
L(r)(E,1)/r! |
Ω |
0.076264115840991 |
Real period |
R |
0.70137254380668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650y1 12950t1 |
Quadratic twists by: 5 -7 |