Atkin-Lehner |
2+ 3+ 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258c |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-852941196816885792 = -1 · 25 · 36 · 72 · 118 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-477535,-134762459] |
[a1,a2,a3,a4,a6] |
Generators |
[40158115:2231919037:12167] |
Generators of the group modulo torsion |
j |
-12043168332427995477625/852941196816885792 |
j-invariant |
L |
3.1542884404017 |
L(r)(E,1)/r! |
Ω |
0.09043784595275 |
Real period |
R |
8.719492396053 |
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 |
81774ci2 |
Quadratic twists by: -3 |