Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15200m |
Isogeny class |
Conductor |
15200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
2888000 = 26 · 53 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38,28] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:10:1] |
Generators of the group modulo torsion |
j |
778688/361 |
j-invariant |
L |
3.8539539793586 |
L(r)(E,1)/r! |
Ω |
2.2741059751289 |
Real period |
R |
0.84735584478206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15200i1 30400x2 15200h1 |
Quadratic twists by: -4 8 5 |