Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15246k |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-40789783609344 = -1 · 220 · 38 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11- 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5670,-261068] |
[a1,a2,a3,a4,a6] |
Generators |
[228:3470:1] |
Generators of the group modulo torsion |
j |
228516153239/462422016 |
j-invariant |
L |
3.1573445244207 |
L(r)(E,1)/r! |
Ω |
0.33598242626502 |
Real period |
R |
1.1746687763999 |
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 |
121968fr1 5082q1 106722cy1 15246br1 |
Quadratic twists by: -4 -3 -7 -11 |