Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800dr |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
8294400 |
Modular degree for the optimal curve |
Δ |
-1.6850322917648E+21 |
Discriminant |
Eigenvalues |
2- -3 5- 3 11- -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11225875,-14611088750] |
[a1,a2,a3,a4,a6] |
Generators |
[10679:1040842:1] |
Generators of the group modulo torsion |
j |
-97783220255527305/1053145182353 |
j-invariant |
L |
4.6780791045485 |
L(r)(E,1)/r! |
Ω |
0.041213144903847 |
Real period |
R |
2.364779041611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4675q1 74800cd1 |
Quadratic twists by: -4 5 |