Atkin-Lehner |
2- 3+ 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
92106bl |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
1559040 |
Modular degree for the optimal curve |
Δ |
-964762411211440128 = -1 · 214 · 39 · 72 · 175 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,80404,46415215] |
[a1,a2,a3,a4,a6] |
Generators |
[-269:2429:1] [173:-8179:1] |
Generators of the group modulo torsion |
j |
2920589020143621/49015008444416 |
j-invariant |
L |
14.628419627431 |
L(r)(E,1)/r! |
Ω |
0.20729939696229 |
Real period |
R |
0.25202367482652 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92106d1 |
Quadratic twists by: -3 |