Atkin-Lehner |
2- 3- 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15810t |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
104000 |
Modular degree for the optimal curve |
Δ |
-5928750000000000 = -1 · 210 · 32 · 513 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5189,-3701359] |
[a1,a2,a3,a4,a6] |
j |
15451458978984911/5928750000000000 |
j-invariant |
L |
3.9916841951948 |
L(r)(E,1)/r! |
Ω |
0.19958420975974 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126480bb1 47430n1 79050b1 |
Quadratic twists by: -4 -3 5 |