Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
85176bp |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
425198592 = 210 · 33 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-195,-338] |
[a1,a2,a3,a4,a6] |
j |
13500/7 |
j-invariant |
L |
2.703991682003 |
L(r)(E,1)/r! |
Ω |
1.3519958453192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85176k1 85176g1 |
Quadratic twists by: -3 13 |