Atkin-Lehner |
2+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
10384b |
Isogeny class |
Conductor |
10384 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1672353584 = -1 · 24 · 116 · 59 |
Discriminant |
Eigenvalues |
2+ -3 3 -3 11- 0 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7426,-246317] |
[a1,a2,a3,a4,a6] |
Generators |
[207:2662:1] |
Generators of the group modulo torsion |
j |
-2830535226611712/104522099 |
j-invariant |
L |
3.0105709911971 |
L(r)(E,1)/r! |
Ω |
0.25714605180422 |
Real period |
R |
1.9512717708309 |
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 |
5192a1 41536o1 93456h1 114224f1 |
Quadratic twists by: -4 8 -3 -11 |