Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7350by |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
9338977620000 = 25 · 34 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 4 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5538,57231] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:455:1] |
Generators of the group modulo torsion |
j |
5213425/2592 |
j-invariant |
L |
5.3684716988264 |
L(r)(E,1)/r! |
Ω |
0.64607585588314 |
Real period |
R |
0.27697839966939 |
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 |
58800jf1 22050ca1 7350t1 7350cx1 |
Quadratic twists by: -4 -3 5 -7 |