Atkin-Lehner |
2+ 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
102240u |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-16562880000000 = -1 · 212 · 36 · 57 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 0 -7 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3432,210544] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:180:1] [-12:500:1] |
Generators of the group modulo torsion |
j |
-1497193984/5546875 |
j-invariant |
L |
12.44947462117 |
L(r)(E,1)/r! |
Ω |
0.60765922261166 |
Real period |
R |
0.73169973745716 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102240bg1 11360i1 |
Quadratic twists by: -4 -3 |