Atkin-Lehner |
3+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98553a |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2678400 |
Modular degree for the optimal curve |
Δ |
-99018585573805443 = -1 · 3 · 75 · 133 · 197 |
Discriminant |
Eigenvalues |
0 3+ -4 7+ -3 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4676875,3894565092] |
[a1,a2,a3,a4,a6] |
Generators |
[1248:-181:1] [9642:21295:8] |
Generators of the group modulo torsion |
j |
-240474752802390016/2104723803 |
j-invariant |
L |
5.2674411871511 |
L(r)(E,1)/r! |
Ω |
0.30315647127884 |
Real period |
R |
4.3438304022843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.00000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5187f1 |
Quadratic twists by: -19 |