Atkin-Lehner |
2+ 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
85162j |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
742896 |
Modular degree for the optimal curve |
Δ |
59403979914202 = 2 · 710 · 113 · 79 |
Discriminant |
Eigenvalues |
2+ -3 0 7- 11+ -6 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-53272,-4704722] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:82:1] |
Generators of the group modulo torsion |
j |
59189531625/210298 |
j-invariant |
L |
1.3305090074752 |
L(r)(E,1)/r! |
Ω |
0.31431652387259 |
Real period |
R |
4.2330227925578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999983803 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85162b1 |
Quadratic twists by: -7 |