Atkin-Lehner |
3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32799g |
Isogeny class |
Conductor |
32799 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
273600 |
Modular degree for the optimal curve |
Δ |
-3130352774415243 = -1 · 33 · 1310 · 292 |
Discriminant |
Eigenvalues |
-2 3- 0 -3 4 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,15612,-2579848] |
[a1,a2,a3,a4,a6] |
j |
500351868416000/3722179279923 |
j-invariant |
L |
1.339764849847 |
L(r)(E,1)/r! |
Ω |
0.22329414164194 |
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 |
98397r1 32799a1 |
Quadratic twists by: -3 29 |