Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680cr |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
12579840 |
Modular degree for the optimal curve |
Δ |
-4.9859829198436E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -1 -3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5201055,33666540543] |
[a1,a2,a3,a4,a6] |
Generators |
[-2349:92160:1] |
Generators of the group modulo torsion |
j |
59355100650962613671/1902001541078016000 |
j-invariant |
L |
9.2780728408963 |
L(r)(E,1)/r! |
Ω |
0.070164067842497 |
Real period |
R |
1.5742138619335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680eu1 3990d1 |
Quadratic twists by: -4 8 |