Atkin-Lehner |
2+ 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10998g |
Isogeny class |
Conductor |
10998 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8736 |
Modular degree for the optimal curve |
Δ |
-57013632 = -1 · 27 · 36 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -4 13+ 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2232,41152] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-1:1] |
Generators of the group modulo torsion |
j |
-1687284042625/78208 |
j-invariant |
L |
3.8238089583533 |
L(r)(E,1)/r! |
Ω |
1.8667646241635 |
Real period |
R |
1.0241807962444 |
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 |
87984bb1 1222b1 |
Quadratic twists by: -4 -3 |