Atkin-Lehner |
2+ 3+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19314c |
Isogeny class |
Conductor |
19314 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-27475296982106112 = -1 · 215 · 39 · 292 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 3 5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,75423,174077] |
[a1,a2,a3,a4,a6] |
Generators |
[1:499:1] |
Generators of the group modulo torsion |
j |
2410685685064125/1395889700864 |
j-invariant |
L |
4.2175755781831 |
L(r)(E,1)/r! |
Ω |
0.22446454809155 |
Real period |
R |
1.5657912775246 |
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 |
19314h1 |
Quadratic twists by: -3 |