Atkin-Lehner |
2- 3- 7+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30954x |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10976 |
Modular degree for the optimal curve |
Δ |
30954 = 2 · 3 · 7 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11+ 3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-627,5991] |
[a1,a2,a3,a4,a6] |
j |
27262747722673/30954 |
j-invariant |
L |
3.1274335756387 |
L(r)(E,1)/r! |
Ω |
3.127433575638 |
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 |
92862q1 |
Quadratic twists by: -3 |