Atkin-Lehner |
3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67431l |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
311806216779924321 = 32 · 76 · 138 · 192 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-372480,83241121] |
[a1,a2,a3,a4,a6] |
Generators |
[-34746384205:1464557977602:111284641] |
Generators of the group modulo torsion |
j |
1184052061112257/64598830569 |
j-invariant |
L |
11.160645097547 |
L(r)(E,1)/r! |
Ω |
0.30164614694272 |
Real period |
R |
18.499565154074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998771 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5187j2 |
Quadratic twists by: 13 |