Atkin-Lehner |
2+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37312b |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-305659904 = -1 · 219 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 1 3 4 11+ -1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129,-1057] |
[a1,a2,a3,a4,a6] |
Generators |
[777:3808:27] |
Generators of the group modulo torsion |
j |
-912673/1166 |
j-invariant |
L |
9.5764760761372 |
L(r)(E,1)/r! |
Ω |
0.67547965440121 |
Real period |
R |
3.5443243973896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37312ba1 1166d1 |
Quadratic twists by: -4 8 |