Atkin-Lehner |
3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98553bc |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
587497162021265223 = 34 · 7 · 132 · 1910 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2302105,1343724473] |
[a1,a2,a3,a4,a6] |
Generators |
[-497:48881:1] |
Generators of the group modulo torsion |
j |
28679872714374673/12487749183 |
j-invariant |
L |
12.149893483663 |
L(r)(E,1)/r! |
Ω |
0.28571800243623 |
Real period |
R |
5.3155092494312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5187b3 |
Quadratic twists by: -19 |