Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10304p |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
517013504 = 216 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10529,412351] |
[a1,a2,a3,a4,a6] |
Generators |
[61:28:1] |
Generators of the group modulo torsion |
j |
1969910093092/7889 |
j-invariant |
L |
2.2084144087961 |
L(r)(E,1)/r! |
Ω |
1.4503783188317 |
Real period |
R |
0.50754904889805 |
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 |
10304t1 1288i1 92736by1 72128r1 |
Quadratic twists by: -4 8 -3 -7 |