Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314r |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-24377749382844 = -1 · 22 · 37 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7101,-329103] |
[a1,a2,a3,a4,a6] |
Generators |
[1884:80733:1] |
Generators of the group modulo torsion |
j |
-30664297/18876 |
j-invariant |
L |
3.7692505388282 |
L(r)(E,1)/r! |
Ω |
0.25295698343552 |
Real period |
R |
3.7251892472352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438bc1 2574u1 |
Quadratic twists by: -3 -11 |