Atkin-Lehner |
3+ 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
106425a |
Isogeny class |
Conductor |
106425 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4368384 |
Modular degree for the optimal curve |
Δ |
3025314582275390625 = 39 · 512 · 114 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 11+ 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8881355,10189360522] |
[a1,a2,a3,a4,a6] |
Generators |
[-6950762:-175189780:2197] |
Generators of the group modulo torsion |
j |
251912685129770547/9836921875 |
j-invariant |
L |
5.2875135752951 |
L(r)(E,1)/r! |
Ω |
0.23743226411743 |
Real period |
R |
5.5673915893936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026672 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106425d1 21285b1 |
Quadratic twists by: -3 5 |