Atkin-Lehner |
2+ 3- 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15810h |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-17134087500 = -1 · 22 · 32 · 55 · 173 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 5 -1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-468,-7442] |
[a1,a2,a3,a4,a6] |
Generators |
[119:-1335:1] |
Generators of the group modulo torsion |
j |
-11301253512121/17134087500 |
j-invariant |
L |
5.1777018509471 |
L(r)(E,1)/r! |
Ω |
0.48715623269114 |
Real period |
R |
0.17714036084976 |
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 |
126480bf1 47430bc1 79050bk1 |
Quadratic twists by: -4 -3 5 |