Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1155a |
Isogeny class |
Conductor |
1155 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-192163125 = -1 · 3 · 54 · 7 · 114 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,49,674] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:25:1] |
Generators of the group modulo torsion |
j |
12994449551/192163125 |
j-invariant |
L |
1.3452101707807 |
L(r)(E,1)/r! |
Ω |
1.3296321273931 |
Real period |
R |
1.0117160551905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480cw4 73920di3 3465p4 5775s4 |
Quadratic twists by: -4 8 -3 5 |