Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10304k |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
24 |
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 |
[5:28:1] [11:64:1] |
Generators of the group modulo torsion |
j |
253012016/181447 |
j-invariant |
L |
3.7720039890626 |
L(r)(E,1)/r! |
Ω |
0.80233171692637 |
Real period |
R |
0.78355039224794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10304z1 1288d1 92736cs1 72128h1 |
Quadratic twists by: -4 8 -3 -7 |