Atkin-Lehner |
2- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
72512v |
Isogeny class |
Conductor |
72512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
318976 |
Modular degree for the optimal curve |
Δ |
-13231321416896 = -1 · 26 · 117 · 1032 |
Discriminant |
Eigenvalues |
2- 1 1 -2 11+ 4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-378235,89408767] |
[a1,a2,a3,a4,a6] |
Generators |
[183624:65611:512] |
Generators of the group modulo torsion |
j |
-93503965109706740224/206739397139 |
j-invariant |
L |
6.9129539683861 |
L(r)(E,1)/r! |
Ω |
0.6106358706885 |
Real period |
R |
5.6604551906058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72512y1 36256n1 |
Quadratic twists by: -4 8 |