Atkin-Lehner |
2+ 3- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15810f |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-7468517520 = -1 · 24 · 311 · 5 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -5 -7 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,126,4132] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:57:1] |
Generators of the group modulo torsion |
j |
223759095911/7468517520 |
j-invariant |
L |
3.067679947086 |
L(r)(E,1)/r! |
Ω |
0.9964853248372 |
Real period |
R |
0.13993181246056 |
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 |
126480v1 47430bm1 79050bp1 |
Quadratic twists by: -4 -3 5 |