Atkin-Lehner |
2+ 3- 5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
42090f |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
1001952450 = 2 · 33 · 52 · 233 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1154,14906] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:118:1] [-22:183:1] |
Generators of the group modulo torsion |
j |
169746191808409/1001952450 |
j-invariant |
L |
7.3351653053229 |
L(r)(E,1)/r! |
Ω |
1.5697811123063 |
Real period |
R |
2.3363656397121 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126270bm1 |
Quadratic twists by: -3 |