Atkin-Lehner |
3+ 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175i |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5978603165390625 = 3 · 57 · 7 · 118 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-245625,46605000] |
[a1,a2,a3,a4,a6] |
Generators |
[3358:31959:8] |
Generators of the group modulo torsion |
j |
104887600917094801/382630602585 |
j-invariant |
L |
6.0955077192567 |
L(r)(E,1)/r! |
Ω |
0.42736867018972 |
Real period |
R |
3.5657198055562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635v4 |
Quadratic twists by: 5 |