Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10304be |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-15167488 = -1 · 212 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 2 0 7- -4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7,185] |
[a1,a2,a3,a4,a6] |
Generators |
[13:48:1] |
Generators of the group modulo torsion |
j |
8000/3703 |
j-invariant |
L |
6.1816117939877 |
L(r)(E,1)/r! |
Ω |
1.7218086491581 |
Real period |
R |
1.7950925606658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10304ba2 5152e1 92736fi2 72128bm2 |
Quadratic twists by: -4 8 -3 -7 |