Atkin-Lehner |
2- 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
104664i |
Isogeny class |
Conductor |
104664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-198593981687808 = -1 · 211 · 33 · 79 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33728,2489964] |
[a1,a2,a3,a4,a6] |
j |
-51344750/2403 |
j-invariant |
L |
1.1187029469585 |
L(r)(E,1)/r! |
Ω |
0.55935152677151 |
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 |
104664m1 |
Quadratic twists by: -7 |