Atkin-Lehner |
2- 3+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498be |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
470988 = 22 · 33 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -3 -2 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20,11] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:7:1] |
Generators of the group modulo torsion |
j |
637875/356 |
j-invariant |
L |
9.2328471345786 |
L(r)(E,1)/r! |
Ω |
2.5586042775788 |
Real period |
R |
0.90213707673219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000672 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78498g1 78498bb1 |
Quadratic twists by: -3 -7 |