Atkin-Lehner |
2- 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880cq |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-74420312320327680 = -1 · 214 · 38 · 5 · 72 · 414 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,38240,12818420] |
[a1,a2,a3,a4,a6] |
Generators |
[548:14094:1] |
Generators of the group modulo torsion |
j |
1509753544356959/18169021562580 |
j-invariant |
L |
7.5678718941491 |
L(r)(E,1)/r! |
Ω |
0.25461138166656 |
Real period |
R |
3.7154033749169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000343 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8610o4 |
Quadratic twists by: -4 |