Atkin-Lehner |
3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
96237l |
Isogeny class |
Conductor |
96237 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-10712529030448269 = -1 · 316 · 173 · 373 |
Discriminant |
Eigenvalues |
1 3- 3 -5 -5 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-112968,-15411303] |
[a1,a2,a3,a4,a6] |
Generators |
[1152:36603:1] |
Generators of the group modulo torsion |
j |
-44516181271121/2991008997 |
j-invariant |
L |
6.0530769355834 |
L(r)(E,1)/r! |
Ω |
0.12970292164935 |
Real period |
R |
1.9445324391908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32079e1 96237j1 |
Quadratic twists by: -3 17 |