Atkin-Lehner |
2+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
9790d |
Isogeny class |
Conductor |
9790 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10769000000000000 = 212 · 512 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 11- -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3666669,-2702738008] |
[a1,a2,a3,a4,a6] |
Generators |
[-138345:71414:125] |
Generators of the group modulo torsion |
j |
5451784270596182288704969/10769000000000000 |
j-invariant |
L |
1.2267331954864 |
L(r)(E,1)/r! |
Ω |
0.10910174419133 |
Real period |
R |
5.6219687621817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78320bb3 88110ci3 48950x3 107690bd3 |
Quadratic twists by: -4 -3 5 -11 |