Atkin-Lehner |
2- 3+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
15318i |
Isogeny class |
Conductor |
15318 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-35443493028 = -1 · 22 · 39 · 233 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 0 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11045,-444095] |
[a1,a2,a3,a4,a6] |
Generators |
[6789:92542:27] |
Generators of the group modulo torsion |
j |
-7569944872875/1800716 |
j-invariant |
L |
7.0723295433781 |
L(r)(E,1)/r! |
Ω |
0.23284933573481 |
Real period |
R |
7.5932464237654 |
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 |
122544t2 15318c1 |
Quadratic twists by: -4 -3 |