Atkin-Lehner |
2- 3+ 5- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
100890o |
Isogeny class |
Conductor |
100890 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
751927730011200 = 26 · 39 · 52 · 193 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-92207,10718839] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:4166:1] |
Generators of the group modulo torsion |
j |
4404733940611467/38201886400 |
j-invariant |
L |
12.426921888763 |
L(r)(E,1)/r! |
Ω |
0.50820408172805 |
Real period |
R |
2.037718434464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999831644 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100890b1 |
Quadratic twists by: -3 |