Atkin-Lehner |
3- 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
98175z |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3026619157142109375 = -1 · 33 · 57 · 78 · 114 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,154687,-80347008] |
[a1,a2,a3,a4,a6] |
Generators |
[916:28354:1] |
Generators of the group modulo torsion |
j |
26197808373890999/193703626057095 |
j-invariant |
L |
3.7565835455422 |
L(r)(E,1)/r! |
Ω |
0.12594164666464 |
Real period |
R |
2.4856640914356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635l4 |
Quadratic twists by: 5 |