Atkin-Lehner |
2+ 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530q |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
107267762548800 = 26 · 38 · 52 · 73 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47898270,127605270996] |
[a1,a2,a3,a4,a6] |
j |
16670770476780954911217121/147143707200 |
j-invariant |
L |
1.182284430677 |
L(r)(E,1)/r! |
Ω |
0.29557110766925 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
6510bd3 97650df3 |
Quadratic twists by: -3 5 |