Atkin-Lehner |
2+ 3- 5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
42090f |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
1957711125000 = 23 · 3 · 56 · 23 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7019,-216658] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:117:1] [-362:927:8] |
Generators of the group modulo torsion |
j |
38234946978163369/1957711125000 |
j-invariant |
L |
7.3351653053229 |
L(r)(E,1)/r! |
Ω |
0.52326037076875 |
Real period |
R |
2.3363656397121 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126270bm2 |
Quadratic twists by: -3 |