Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040g |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-529200 = -1 · 24 · 33 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18,19] |
[a1,a2,a3,a4,a6] |
Generators |
[3:10:1] |
Generators of the group modulo torsion |
j |
1492992/1225 |
j-invariant |
L |
4.0660140408761 |
L(r)(E,1)/r! |
Ω |
1.8919331559392 |
Real period |
R |
1.0745659877338 |
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 |
2520n1 20160cw1 5040b1 25200d1 |
Quadratic twists by: -4 8 -3 5 |