Atkin-Lehner |
3- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7353h |
Isogeny class |
Conductor |
7353 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
-5360337 = -1 · 38 · 19 · 43 |
Discriminant |
Eigenvalues |
1 3- 0 -5 0 6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72,-243] |
[a1,a2,a3,a4,a6] |
Generators |
[36:189:1] |
Generators of the group modulo torsion |
j |
-57066625/7353 |
j-invariant |
L |
4.2424956912686 |
L(r)(E,1)/r! |
Ω |
0.81309451039098 |
Real period |
R |
2.6088576647926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117648bt1 2451g1 |
Quadratic twists by: -4 -3 |