Atkin-Lehner |
2+ 3+ 23- 103- |
Signs for the Atkin-Lehner involutions |
Class |
42642c |
Isogeny class |
Conductor |
42642 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
98667021132 = 22 · 39 · 233 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -2 3 3 1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3498,79064] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:313:1] |
Generators of the group modulo torsion |
j |
240525801459/5012804 |
j-invariant |
L |
4.4293513491077 |
L(r)(E,1)/r! |
Ω |
1.0647250002949 |
Real period |
R |
0.34667412930394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42642j1 |
Quadratic twists by: -3 |