Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192t |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-2094777151488 = -1 · 212 · 33 · 77 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -5 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3789,-114885] |
[a1,a2,a3,a4,a6] |
Generators |
[93:588:1] |
Generators of the group modulo torsion |
j |
-12487168/4347 |
j-invariant |
L |
4.146411937314 |
L(r)(E,1)/r! |
Ω |
0.29900420657794 |
Real period |
R |
1.1556169356543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108192m1 15456a1 |
Quadratic twists by: -4 -7 |