Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20300i |
Isogeny class |
Conductor |
20300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-39788000000 = -1 · 28 · 56 · 73 · 29 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 2 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1000,-15500] |
[a1,a2,a3,a4,a6] |
Generators |
[45:175:1] |
Generators of the group modulo torsion |
j |
-27648000/9947 |
j-invariant |
L |
3.1438136404786 |
L(r)(E,1)/r! |
Ω |
0.4169705036483 |
Real period |
R |
1.2566091258141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81200bc1 812a1 |
Quadratic twists by: -4 5 |