Atkin-Lehner |
2+ 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89782j |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5283840 |
Modular degree for the optimal curve |
Δ |
-844957463744269568 = -1 · 28 · 74 · 1110 · 53 |
Discriminant |
Eigenvalues |
2+ 1 -4 7- 11- -5 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7812368,-8405465378] |
[a1,a2,a3,a4,a6] |
Generators |
[8953:795091:1] |
Generators of the group modulo torsion |
j |
-29765665614882148561/476956460288 |
j-invariant |
L |
2.9054908027193 |
L(r)(E,1)/r! |
Ω |
0.045151634346755 |
Real period |
R |
4.02185165289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8162f1 |
Quadratic twists by: -11 |