Atkin-Lehner |
2- 7- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
113386x |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
380 |
Product of Tamagawa factors cp |
deg |
1434880 |
Modular degree for the optimal curve |
Δ |
-528884467278282752 = -1 · 219 · 73 · 135 · 892 |
Discriminant |
Eigenvalues |
2- -1 0 7- -1 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-338843,83452137] |
[a1,a2,a3,a4,a6] |
Generators |
[307:-3066:1] [-161:11650:1] |
Generators of the group modulo torsion |
j |
-12543687523265512375/1541937222385664 |
j-invariant |
L |
14.23504247392 |
L(r)(E,1)/r! |
Ω |
0.28428581706444 |
Real period |
R |
0.1317710411428 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113386u1 |
Quadratic twists by: -7 |