Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950cv |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
210856604076562500 = 22 · 34 · 58 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-626001,189301648] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:17592:1] |
Generators of the group modulo torsion |
j |
14758408587889/114704100 |
j-invariant |
L |
6.4146209413751 |
L(r)(E,1)/r! |
Ω |
0.3178013298315 |
Real period |
R |
1.2615233705776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101091 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24990bt2 17850f2 |
Quadratic twists by: 5 -7 |