Atkin-Lehner |
5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
28325g |
Isogeny class |
Conductor |
28325 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
53551953125 = 58 · 113 · 103 |
Discriminant |
Eigenvalues |
0 0 5- 0 11- 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7250,-237344] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:12:1] |
Generators of the group modulo torsion |
j |
107889131520/137093 |
j-invariant |
L |
3.9258656167051 |
L(r)(E,1)/r! |
Ω |
0.51742593219578 |
Real period |
R |
0.84303329926643 |
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 |
28325c1 |
Quadratic twists by: 5 |