Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314bz |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
351559649766454272 = 210 · 36 · 118 · 133 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1326425,-586968775] |
[a1,a2,a3,a4,a6] |
Generators |
[-665:1164:1] |
Generators of the group modulo torsion |
j |
1651590939625/2249728 |
j-invariant |
L |
9.139355626605 |
L(r)(E,1)/r! |
Ω |
0.14069038914693 |
Real period |
R |
2.165358909025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3146f1 28314o1 |
Quadratic twists by: -3 -11 |