Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450dn |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7262753983257937500 = 22 · 322 · 56 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17805155,28922059847] |
[a1,a2,a3,a4,a6] |
Generators |
[4699:219000:1] |
Generators of the group modulo torsion |
j |
54804145548726848737/637608031452 |
j-invariant |
L |
10.542696253001 |
L(r)(E,1)/r! |
Ω |
0.21370045281382 |
Real period |
R |
6.1667488966478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150bc6 2898i5 |
Quadratic twists by: -3 5 |