Atkin-Lehner |
3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12321i |
Isogeny class |
Conductor |
12321 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
159840 |
Modular degree for the optimal curve |
Δ |
94742108310611133 = 36 · 379 |
Discriminant |
Eigenvalues |
2 3- 2 3 -3 -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-151959,17335989] |
[a1,a2,a3,a4,a6] |
Generators |
[-3482999250486:-90184604929289:14278164776] |
Generators of the group modulo torsion |
j |
4096 |
j-invariant |
L |
10.454767535888 |
L(r)(E,1)/r! |
Ω |
0.31722495112062 |
Real period |
R |
16.478476076607 |
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 |
1369f1 12321j1 |
Quadratic twists by: -3 37 |