Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408bg |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
22588608 = 26 · 3 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-212,1098] |
[a1,a2,a3,a4,a6] |
Generators |
[1305:1434:125] |
Generators of the group modulo torsion |
j |
140608/3 |
j-invariant |
L |
5.7929172099759 |
L(r)(E,1)/r! |
Ω |
2.1403934716091 |
Real period |
R |
5.4129460651185 |
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 |
9408k1 4704f3 28224ci1 192a1 |
Quadratic twists by: -4 8 -3 -7 |