Atkin-Lehner |
2+ 7+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11914a |
Isogeny class |
Conductor |
11914 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2668736 = 26 · 72 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 4 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-290474,60136340] |
[a1,a2,a3,a4,a6] |
Generators |
[8481:-1463:27] |
Generators of the group modulo torsion |
j |
2710490216437522251433/2668736 |
j-invariant |
L |
5.4664642565535 |
L(r)(E,1)/r! |
Ω |
1.1309535985038 |
Real period |
R |
4.8335000337637 |
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 |
95312s2 107226z2 83398a2 |
Quadratic twists by: -4 -3 -7 |