Atkin-Lehner |
3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
303b |
Isogeny class |
Conductor |
303 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32 |
Modular degree for the optimal curve |
Δ |
8181 = 34 · 101 |
Discriminant |
Eigenvalues |
-2 3- -1 -2 -6 1 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6,2] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
28094464/8181 |
j-invariant |
L |
1.000364858322 |
L(r)(E,1)/r! |
Ω |
3.852441097221 |
Real period |
R |
0.064917595952577 |
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 |
4848m1 19392b1 909b1 7575b1 |
Quadratic twists by: -4 8 -3 5 |