Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736cp |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
222656295312 = 24 · 34 · 112 · 175 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1734,16623] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:153:1] [41:113:1] |
Generators of the group modulo torsion |
j |
297999868672/115008417 |
j-invariant |
L |
9.173690588228 |
L(r)(E,1)/r! |
Ω |
0.90676700202553 |
Real period |
R |
1.0116921510937 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24684n1 98736ca1 |
Quadratic twists by: -4 -11 |