Atkin-Lehner |
2- 3+ 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15810m |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
3808 |
Modular degree for the optimal curve |
Δ |
-17201280 = -1 · 27 · 3 · 5 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 1 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26,-217] |
[a1,a2,a3,a4,a6] |
Generators |
[17:59:1] |
Generators of the group modulo torsion |
j |
-1948441249/17201280 |
j-invariant |
L |
6.0554165482648 |
L(r)(E,1)/r! |
Ω |
0.92618126588318 |
Real period |
R |
0.46700334953875 |
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 |
126480bj1 47430t1 79050z1 |
Quadratic twists by: -4 -3 5 |