Atkin-Lehner |
3- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58305j |
Isogeny class |
Conductor |
58305 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
101305429302675 = 3 · 52 · 136 · 234 |
Discriminant |
Eigenvalues |
1 3- 5- -4 4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-69463,-7035637] |
[a1,a2,a3,a4,a6] |
Generators |
[67218:231613:216] |
Generators of the group modulo torsion |
j |
7679186557489/20988075 |
j-invariant |
L |
8.4203307937032 |
L(r)(E,1)/r! |
Ω |
0.29412589500939 |
Real period |
R |
7.1570804684255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
345d3 |
Quadratic twists by: 13 |