Atkin-Lehner |
2+ 5- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
104650o |
Isogeny class |
Conductor |
104650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
7923260800000000 = 213 · 58 · 72 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ -3 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-53992,2244416] |
[a1,a2,a3,a4,a6] |
j |
44561155864185/20283547648 |
j-invariant |
L |
2.2354871757551 |
L(r)(E,1)/r! |
Ω |
0.37258120378043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104650bc1 |
Quadratic twists by: 5 |