Atkin-Lehner |
3- 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
28305h |
Isogeny class |
Conductor |
28305 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
4871998125 = 36 · 54 · 172 · 37 |
Discriminant |
Eigenvalues |
2 3- 5+ -3 3 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-453,1579] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:421:8] |
Generators of the group modulo torsion |
j |
14102327296/6683125 |
j-invariant |
L |
8.9143516668369 |
L(r)(E,1)/r! |
Ω |
1.2209603295001 |
Real period |
R |
1.8252746324867 |
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 |
3145a1 |
Quadratic twists by: -3 |