Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5040a |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
92610000 = 24 · 33 · 54 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-318,-2133] |
[a1,a2,a3,a4,a6] |
Generators |
[91:850:1] |
Generators of the group modulo torsion |
j |
8232302592/214375 |
j-invariant |
L |
3.4063280586522 |
L(r)(E,1)/r! |
Ω |
1.1323555307988 |
Real period |
R |
3.0081789385082 |
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 |
2520m1 20160df1 5040e1 25200l1 |
Quadratic twists by: -4 8 -3 5 |