Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350j |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2452081542968750 = -1 · 2 · 512 · 73 · 114 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 11- -5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,19600,2143750] |
[a1,a2,a3,a4,a6] |
Generators |
[-450:7675:8] [15:-1570:1] |
Generators of the group modulo torsion |
j |
3639707951/10718750 |
j-invariant |
L |
5.4196077982722 |
L(r)(E,1)/r! |
Ω |
0.32264849363811 |
Real period |
R |
4.1993128010312 |
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 |
8470x2 42350cl2 |
Quadratic twists by: 5 -11 |