Atkin-Lehner |
3+ 5- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
23205f |
Isogeny class |
Conductor |
23205 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2.0492465137674E+23 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-55956817,159609645496] |
[a1,a2,a3,a4,a6] |
Generators |
[1272:300184:1] |
Generators of the group modulo torsion |
j |
19376830118286544051859258521/204924651376739150390625 |
j-invariant |
L |
4.6738332291409 |
L(r)(E,1)/r! |
Ω |
0.10064735285093 |
Real period |
R |
4.6437716410322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69615g2 116025bl2 |
Quadratic twists by: -3 5 |