Atkin-Lehner |
2- 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68112cd |
Isogeny class |
Conductor |
68112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
1759401552868540416 = 234 · 39 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-323139,30431810] |
[a1,a2,a3,a4,a6] |
j |
1249695959916097/589220020224 |
j-invariant |
L |
3.7841160940225 |
L(r)(E,1)/r! |
Ω |
0.23650725481848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8514b1 22704t1 |
Quadratic twists by: -4 -3 |