Atkin-Lehner |
2- 3+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15834m |
Isogeny class |
Conductor |
15834 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-1759664088 = -1 · 23 · 35 · 74 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -3 13- -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,210,1731] |
[a1,a2,a3,a4,a6] |
Generators |
[3:47:1] |
Generators of the group modulo torsion |
j |
1023887723039/1759664088 |
j-invariant |
L |
3.8323669819575 |
L(r)(E,1)/r! |
Ω |
1.0203236503458 |
Real period |
R |
0.62600512112971 |
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 |
126672cc1 47502n1 110838ce1 |
Quadratic twists by: -4 -3 -7 |