Atkin-Lehner |
2- 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
71100i |
Isogeny class |
Conductor |
71100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-2763936067500000000 = -1 · 28 · 311 · 510 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30000,80012500] |
[a1,a2,a3,a4,a6] |
Generators |
[-597729:2272909:1331] |
Generators of the group modulo torsion |
j |
-1638400/1516563 |
j-invariant |
L |
7.6241369235005 |
L(r)(E,1)/r! |
Ω |
0.20600933172651 |
Real period |
R |
9.2521742337825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23700m1 71100w1 |
Quadratic twists by: -3 5 |