Atkin-Lehner |
3+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98553i |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4826304 |
Modular degree for the optimal curve |
Δ |
-5.5848045714977E+20 |
Discriminant |
Eigenvalues |
-2 3+ 1 7+ -2 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,916820,1085332404] |
[a1,a2,a3,a4,a6] |
Generators |
[-521:21586:1] |
Generators of the group modulo torsion |
j |
1811564780171264/11870974573731 |
j-invariant |
L |
2.4762207773367 |
L(r)(E,1)/r! |
Ω |
0.11896308420562 |
Real period |
R |
3.4691725346215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999643681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
273b1 |
Quadratic twists by: -19 |