Atkin-Lehner |
2+ 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
85162k |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
146313216 |
Modular degree for the optimal curve |
Δ |
7.0718217192702E+22 |
Discriminant |
Eigenvalues |
2+ -3 -1 7- 11+ -5 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10314514660,-403198151220656] |
[a1,a2,a3,a4,a6] |
Generators |
[55514615825032:22039713526193852:258474853] |
Generators of the group modulo torsion |
j |
1031530003248877226947940527881/601094928071655424 |
j-invariant |
L |
0.97616971842515 |
L(r)(E,1)/r! |
Ω |
0.014980881037782 |
Real period |
R |
16.290258829958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1738b1 |
Quadratic twists by: -7 |