Atkin-Lehner |
2+ 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
42480a |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-148646016000 = -1 · 210 · 39 · 53 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 0 -3 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,837,-16038] |
[a1,a2,a3,a4,a6] |
Generators |
[19:82:1] [27:162:1] |
Generators of the group modulo torsion |
j |
3217428/7375 |
j-invariant |
L |
8.0399850581514 |
L(r)(E,1)/r! |
Ω |
0.53334367419099 |
Real period |
R |
3.7686699248595 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21240g1 42480b1 |
Quadratic twists by: -4 -3 |