Atkin-Lehner |
2+ 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
85162i |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
17993708656 = 24 · 76 · 112 · 79 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 11+ 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-712,-3482] |
[a1,a2,a3,a4,a6] |
Generators |
[29:7:1] |
Generators of the group modulo torsion |
j |
338608873/152944 |
j-invariant |
L |
7.1614111416017 |
L(r)(E,1)/r! |
Ω |
0.9644566677793 |
Real period |
R |
1.8563330467441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1738a1 |
Quadratic twists by: -7 |