Atkin-Lehner |
3- 5+ 31+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
85095m |
Isogeny class |
Conductor |
85095 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
425984 |
Modular degree for the optimal curve |
Δ |
2584760625 = 37 · 54 · 31 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-664808,208803602] |
[a1,a2,a3,a4,a6] |
Generators |
[1920360:36770317:2197] |
Generators of the group modulo torsion |
j |
44574274384057809721/3545625 |
j-invariant |
L |
4.127393320142 |
L(r)(E,1)/r! |
Ω |
0.80262464021696 |
Real period |
R |
10.2847411097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008948 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28365i1 |
Quadratic twists by: -3 |