Atkin-Lehner |
3- 11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37323c |
Isogeny class |
Conductor |
37323 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-127614702806019 = -1 · 39 · 112 · 133 · 293 |
Discriminant |
Eigenvalues |
2 3- -1 -2 11+ 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5223,-562595] |
[a1,a2,a3,a4,a6] |
j |
-21615050838016/175054462011 |
j-invariant |
L |
0.98892162509823 |
L(r)(E,1)/r! |
Ω |
0.24723040627547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12441e1 |
Quadratic twists by: -3 |