Atkin-Lehner |
3- 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175br |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-505161916875 = -1 · 36 · 54 · 72 · 113 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 11- -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3858,97094] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:82:1] [27:-116:1] |
Generators of the group modulo torsion |
j |
-10163491532800/808259067 |
j-invariant |
L |
6.7710759765501 |
L(r)(E,1)/r! |
Ω |
0.91133193148504 |
Real period |
R |
0.068795074292148 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98175j1 |
Quadratic twists by: 5 |