Atkin-Lehner |
2+ 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
85400b |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
358829450000000000 = 210 · 511 · 76 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1611408,786264688] |
[a1,a2,a3,a4,a6] |
Generators |
[387:14858:1] |
Generators of the group modulo torsion |
j |
28921482121849636/22426840625 |
j-invariant |
L |
3.9316206316324 |
L(r)(E,1)/r! |
Ω |
0.30006113062013 |
Real period |
R |
6.55136610031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999829628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17080i1 |
Quadratic twists by: 5 |