Atkin-Lehner |
3- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175bg |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
-20501701171875 = -1 · 36 · 59 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11+ -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,6342,100469] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:2471:8] |
Generators of the group modulo torsion |
j |
1805152587776/1312108875 |
j-invariant |
L |
16.658708522448 |
L(r)(E,1)/r! |
Ω |
0.43451021201518 |
Real period |
R |
1.5974603961478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19635d1 |
Quadratic twists by: 5 |