Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350p |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-211680000 = -1 · 28 · 33 · 54 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-900,-10800] |
[a1,a2,a3,a4,a6] |
Generators |
[56:316:1] |
Generators of the group modulo torsion |
j |
-2637114025/6912 |
j-invariant |
L |
2.5395431599359 |
L(r)(E,1)/r! |
Ω |
0.43569034154225 |
Real period |
R |
2.9143900125792 |
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 |
58800jp1 22050fl1 7350cn1 7350bf1 |
Quadratic twists by: -4 -3 5 -7 |