Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200dg |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
30917111616000000 = 212 · 314 · 56 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 3 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78933,1109763] |
[a1,a2,a3,a4,a6] |
j |
849816322048/483079869 |
j-invariant |
L |
4.4629397860445 |
L(r)(E,1)/r! |
Ω |
0.31878144448851 |
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 |
7575a1 4848n1 |
Quadratic twists by: -4 5 |