Atkin-Lehner |
2- 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850fz |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-13865627840625000 = -1 · 23 · 313 · 58 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- -2 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,56695,2243697] |
[a1,a2,a3,a4,a6] |
Generators |
[269:5940:1] |
Generators of the group modulo torsion |
j |
70774630295/48691368 |
j-invariant |
L |
8.175220164508 |
L(r)(E,1)/r! |
Ω |
0.25036963992998 |
Real period |
R |
0.4535083565429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950m1 113850cc1 |
Quadratic twists by: -3 5 |