Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350bw |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
4896 |
Modular degree for the optimal curve |
Δ |
1445068800 = 217 · 32 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-288,321] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:53:1] |
Generators of the group modulo torsion |
j |
2157045625/1179648 |
j-invariant |
L |
5.2303193745786 |
L(r)(E,1)/r! |
Ω |
1.3181418754951 |
Real period |
R |
0.11670437427226 |
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 |
58800iw1 22050bs1 7350bm1 7350ci1 |
Quadratic twists by: -4 -3 5 -7 |