Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930t |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-25759641600 = -1 · 212 · 33 · 52 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,262,7481] |
[a1,a2,a3,a4,a6] |
j |
73929353373/954060800 |
j-invariant |
L |
3.5244645237392 |
L(r)(E,1)/r! |
Ω |
0.88111613093481 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
55440bt1 6930e3 34650b1 48510ci1 |
Quadratic twists by: -4 -3 5 -7 |