Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7350bo |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-389124067500000000 = -1 · 28 · 33 · 510 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1103138,446506031] |
[a1,a2,a3,a4,a6] |
j |
-2637114025/6912 |
j-invariant |
L |
2.4105624302793 |
L(r)(E,1)/r! |
Ω |
0.30132030378491 |
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 |
58800hs1 22050v1 7350bf1 7350cn1 |
Quadratic twists by: -4 -3 5 -7 |