Atkin-Lehner |
5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
19525c |
Isogeny class |
Conductor |
19525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
238266015625 = 58 · 112 · 712 |
Discriminant |
Eigenvalues |
1 0 5+ 0 11- -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2167,-30384] |
[a1,a2,a3,a4,a6] |
Generators |
[64:268:1] [1584:62208:1] |
Generators of the group modulo torsion |
j |
72043225281/15249025 |
j-invariant |
L |
8.452909658425 |
L(r)(E,1)/r! |
Ω |
0.71019455670597 |
Real period |
R |
11.90224506596 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3905c2 |
Quadratic twists by: 5 |