Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70602bb |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
1098002304 = 27 · 36 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 1 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7825,265769] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-13:1] |
Generators of the group modulo torsion |
j |
31521908651521/653184 |
j-invariant |
L |
13.014869153887 |
L(r)(E,1)/r! |
Ω |
1.4293138662646 |
Real period |
R |
0.21680181259414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70602z1 |
Quadratic twists by: 41 |