Atkin-Lehner |
2- 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610bt |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-1378826258940 = -1 · 22 · 33 · 5 · 136 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2116,-68671] |
[a1,a2,a3,a4,a6] |
j |
-217081801/285660 |
j-invariant |
L |
0.67109512104326 |
L(r)(E,1)/r! |
Ω |
0.33554785607912 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
690d1 |
Quadratic twists by: 13 |