Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15246z |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
310464 |
Modular degree for the optimal curve |
Δ |
-30746430621422208 = -1 · 27 · 33 · 73 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3143240,-2144166901] |
[a1,a2,a3,a4,a6] |
Generators |
[39333:7772929:1] |
Generators of the group modulo torsion |
j |
-4904170882875/43904 |
j-invariant |
L |
7.038433332853 |
L(r)(E,1)/r! |
Ω |
0.05669241412623 |
Real period |
R |
8.8679454881128 |
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 |
121968cz1 15246a2 106722ep1 15246c1 |
Quadratic twists by: -4 -3 -7 -11 |