Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
1554n |
Isogeny class |
Conductor |
1554 |
Conductor |
∏ cp |
243 |
Product of Tamagawa factors cp |
Δ |
-441510751160136 = -1 · 23 · 33 · 79 · 373 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -6 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,15753,666801] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:779:1] |
Generators of the group modulo torsion |
j |
432326451325256207/441510751160136 |
j-invariant |
L |
3.9429768847052 |
L(r)(E,1)/r! |
Ω |
0.3489571417399 |
Real period |
R |
0.41849317135872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
12432bf2 49728q2 4662i2 38850d2 |
Quadratic twists by: -4 8 -3 5 |