Atkin-Lehner |
2+ 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824n |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-101724263424 = -1 · 210 · 39 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1149,-3278] |
[a1,a2,a3,a4,a6] |
Generators |
[3:14:1] |
Generators of the group modulo torsion |
j |
224727548/136269 |
j-invariant |
L |
9.2278775444607 |
L(r)(E,1)/r! |
Ω |
0.61677738427146 |
Real period |
R |
1.8701799410465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51912i1 34608e1 |
Quadratic twists by: -4 -3 |