Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
112700c |
Isogeny class |
Conductor |
112700 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
803520 |
Modular degree for the optimal curve |
Δ |
-22822630468750000 = -1 · 24 · 511 · 74 · 233 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -2 -6 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39200,-7858375] |
[a1,a2,a3,a4,a6] |
Generators |
[2170:100625:1] |
Generators of the group modulo torsion |
j |
-11098128384/38021875 |
j-invariant |
L |
4.6192833383724 |
L(r)(E,1)/r! |
Ω |
0.15590571243996 |
Real period |
R |
0.27433980096136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999771927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22540a1 112700l1 |
Quadratic twists by: 5 -7 |