Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944cx |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
10699470656 = 26 · 78 · 29 |
Discriminant |
Eigenvalues |
2- -2 3 7+ 6 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1829,-30311] |
[a1,a2,a3,a4,a6] |
Generators |
[-427400:10583:15625] |
Generators of the group modulo torsion |
j |
1835008/29 |
j-invariant |
L |
6.8557704465136 |
L(r)(E,1)/r! |
Ω |
0.73070542916235 |
Real period |
R |
9.3823997736553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944k1 22736q1 90944ef1 |
Quadratic twists by: -4 8 -7 |