Atkin-Lehner |
3+ 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175k |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-1852071375 = -1 · 3 · 53 · 74 · 112 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-893,10106] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-32:1] |
Generators of the group modulo torsion |
j |
-630084028517/14816571 |
j-invariant |
L |
2.4489769836607 |
L(r)(E,1)/r! |
Ω |
1.481741577372 |
Real period |
R |
0.82638464896763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999881829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98175bs1 |
Quadratic twists by: 5 |