Atkin-Lehner |
2+ 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
36050h |
Isogeny class |
Conductor |
36050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-19714843750 = -1 · 2 · 59 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 1 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-626,-9102] |
[a1,a2,a3,a4,a6] |
Generators |
[246:123:8] [62:-469:1] |
Generators of the group modulo torsion |
j |
-1732323601/1261750 |
j-invariant |
L |
4.7548458285354 |
L(r)(E,1)/r! |
Ω |
0.46256862051043 |
Real period |
R |
1.2849028278463 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7210i1 |
Quadratic twists by: 5 |