Atkin-Lehner |
2+ 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27550i |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-341082637250000 = -1 · 24 · 56 · 196 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 -3 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1346350,-601853500] |
[a1,a2,a3,a4,a6] |
Generators |
[1384:13026:1] |
Generators of the group modulo torsion |
j |
-17273411298654994657/21829288784 |
j-invariant |
L |
2.1173838668768 |
L(r)(E,1)/r! |
Ω |
0.070077724344782 |
Real period |
R |
2.5178993356711 |
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 |
1102e2 |
Quadratic twists by: 5 |