Atkin-Lehner |
2+ 3- 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15810i |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-116740996680600000 = -1 · 26 · 37 · 55 · 172 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,98817,-11273582] |
[a1,a2,a3,a4,a6] |
Generators |
[134:2025:1] |
Generators of the group modulo torsion |
j |
106714890886921360919/116740996680600000 |
j-invariant |
L |
5.1196477850902 |
L(r)(E,1)/r! |
Ω |
0.17943676031674 |
Real period |
R |
0.20379833366415 |
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 |
126480bh1 47430bd1 79050bm1 |
Quadratic twists by: -4 -3 5 |