Atkin-Lehner |
2+ 3+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
103824f |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-560903168109312 = -1 · 28 · 33 · 7 · 1035 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 3 2 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32364,-2514052] |
[a1,a2,a3,a4,a6] |
Generators |
[1277486:25047849:2744] |
Generators of the group modulo torsion |
j |
-542383613512704/81149185201 |
j-invariant |
L |
9.7365915665556 |
L(r)(E,1)/r! |
Ω |
0.17651415284927 |
Real period |
R |
5.5160401594896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51912j1 103824h1 |
Quadratic twists by: -4 -3 |