Atkin-Lehner |
5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9775a |
Isogeny class |
Conductor |
9775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-25380634765625 = -1 · 510 · 173 · 232 |
Discriminant |
Eigenvalues |
1 3 5+ -1 -4 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-180742,29622041] |
[a1,a2,a3,a4,a6] |
Generators |
[7320:15293:27] |
Generators of the group modulo torsion |
j |
-66865526921025/2598977 |
j-invariant |
L |
8.5088299126041 |
L(r)(E,1)/r! |
Ω |
0.62879901985326 |
Real period |
R |
6.765937639812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87975be1 9775f1 |
Quadratic twists by: -3 5 |