Atkin-Lehner |
3- 5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
98475p |
Isogeny class |
Conductor |
98475 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
118080 |
Modular degree for the optimal curve |
Δ |
-373897265625 = -1 · 36 · 58 · 13 · 101 |
Discriminant |
Eigenvalues |
1 3- 5- -2 -4 13+ -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,49,29423] |
[a1,a2,a3,a4,a6] |
Generators |
[27:211:1] |
Generators of the group modulo torsion |
j |
34295/957177 |
j-invariant |
L |
5.9014006501145 |
L(r)(E,1)/r! |
Ω |
0.75307099190525 |
Real period |
R |
0.43535814678823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98475j1 |
Quadratic twists by: 5 |