Atkin-Lehner |
2+ 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
73150n |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-7251570172000000 = -1 · 28 · 56 · 73 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,48358,-193484] |
[a1,a2,a3,a4,a6] |
Generators |
[15:724:1] [582:15109:8] |
Generators of the group modulo torsion |
j |
800393636529423/464100491008 |
j-invariant |
L |
7.9689555155325 |
L(r)(E,1)/r! |
Ω |
0.24856302528274 |
Real period |
R |
1.3358375115012 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2926a1 |
Quadratic twists by: 5 |