Atkin-Lehner |
3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98553r |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-11957322252603 = -1 · 3 · 73 · 13 · 197 |
Discriminant |
Eigenvalues |
-2 3+ -2 7- -1 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5174,221276] |
[a1,a2,a3,a4,a6] |
Generators |
[218:2523:8] [-63:541:1] |
Generators of the group modulo torsion |
j |
-325660672/254163 |
j-invariant |
L |
4.455074095546 |
L(r)(E,1)/r! |
Ω |
0.65568197652924 |
Real period |
R |
0.56621378625509 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5187k1 |
Quadratic twists by: -19 |