Atkin-Lehner |
2+ 3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70992d |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-7470745266212877312 = -1 · 210 · 36 · 177 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 -4 -3 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-899715,353823154] |
[a1,a2,a3,a4,a6] |
Generators |
[515:-5202:1] |
Generators of the group modulo torsion |
j |
-107897432486570500/10007749895797 |
j-invariant |
L |
4.0096137297733 |
L(r)(E,1)/r! |
Ω |
0.22948670701139 |
Real period |
R |
0.62400342146785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35496b1 7888b1 |
Quadratic twists by: -4 -3 |