Atkin-Lehner |
2+ 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350d |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-1498992695156250 = -1 · 2 · 39 · 57 · 75 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22317,-2256409] |
[a1,a2,a3,a4,a6] |
j |
-3996969003/4874030 |
j-invariant |
L |
1.4931302233276 |
L(r)(E,1)/r! |
Ω |
0.18664127820955 |
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 |
91350cy1 18270bf1 |
Quadratic twists by: -3 5 |