Atkin-Lehner |
2- 3+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
28644b |
Isogeny class |
Conductor |
28644 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
440640 |
Modular degree for the optimal curve |
Δ |
-2084196008191562496 = -1 · 28 · 317 · 75 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11+ -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82797,70089129] |
[a1,a2,a3,a4,a6] |
Generators |
[880:26037:1] |
Generators of the group modulo torsion |
j |
-245206961444036608/8141390656998291 |
j-invariant |
L |
2.5482504004573 |
L(r)(E,1)/r! |
Ω |
0.21783757737969 |
Real period |
R |
5.8489688306065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114576ch1 85932bc1 |
Quadratic twists by: -4 -3 |