Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432ce |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-40794513408 = -1 · 213 · 39 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 1 11- 3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1731,-29374] |
[a1,a2,a3,a4,a6] |
j |
-192100033/13662 |
j-invariant |
L |
1.4742810456432 |
L(r)(E,1)/r! |
Ω |
0.36857026141136 |
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 |
4554j1 12144t1 |
Quadratic twists by: -4 -3 |