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 |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-11389833984375 = -1 · 34 · 510 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5625,0] |
[a1,a2,a3,a4,a6] |
Generators |
[64:760:1] |
Generators of the group modulo torsion |
j |
1259362112399/728949375 |
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 |
19635v1 |
Quadratic twists by: 5 |