Atkin-Lehner |
3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2655c |
Isogeny class |
Conductor |
2655 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
544 |
Modular degree for the optimal curve |
Δ |
199125 = 33 · 53 · 59 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 3 5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-402,3102] |
[a1,a2,a3,a4,a6] |
j |
266095853568/7375 |
j-invariant |
L |
1.9685801355111 |
L(r)(E,1)/r! |
Ω |
2.9528702032667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
42480bc1 2655b2 13275b1 |
Quadratic twists by: -4 -3 5 |