Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722h |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-1183737578924755008 = -1 · 26 · 33 · 74 · 1111 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -2 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3282813,-2289154939] |
[a1,a2,a3,a4,a6] |
j |
-34068278205171/10307264 |
j-invariant |
L |
1.3458953962448 |
L(r)(E,1)/r! |
Ω |
0.056078983705497 |
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 |
106722ef1 106722w1 9702bd1 |
Quadratic twists by: -3 -7 -11 |