Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
73206x |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3913728 |
Modular degree for the optimal curve |
Δ |
-4.374482741792E+19 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 1 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9116361,10601555341] |
[a1,a2,a3,a4,a6] |
Generators |
[-14234:1171573:8] [1605:9316:1] |
Generators of the group modulo torsion |
j |
-2848251888987751/1487020032 |
j-invariant |
L |
6.8311019063967 |
L(r)(E,1)/r! |
Ω |
0.20002950827169 |
Real period |
R |
4.2688088655858 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24402t1 73206j1 |
Quadratic twists by: -3 -7 |