Atkin-Lehner |
3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98553m |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
-413771518251 = -1 · 32 · 73 · 135 · 192 |
Discriminant |
Eigenvalues |
1 3+ 1 7- -4 13- -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,943,29268] |
[a1,a2,a3,a4,a6] |
Generators |
[4:180:1] [-98:1063:8] |
Generators of the group modulo torsion |
j |
256467174479/1146181491 |
j-invariant |
L |
12.11947342448 |
L(r)(E,1)/r! |
Ω |
0.67690465348557 |
Real period |
R |
0.59680849499766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98553x1 |
Quadratic twists by: -19 |