Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10304z |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-2972827648 = -1 · 214 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 2 -4 7+ 4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,335,1041] |
[a1,a2,a3,a4,a6] |
Generators |
[15:96:1] |
Generators of the group modulo torsion |
j |
253012016/181447 |
j-invariant |
L |
4.8450331156145 |
L(r)(E,1)/r! |
Ω |
0.90584688089505 |
Real period |
R |
2.674311309008 |
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 |
10304k1 2576d1 92736ee1 72128cf1 |
Quadratic twists by: -4 8 -3 -7 |