Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640cr |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
2253393276066938880 = 214 · 320 · 5 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13483576,-19061411500] |
[a1,a2,a3,a4,a6] |
Generators |
[-2116:126:1] |
Generators of the group modulo torsion |
j |
66187969564358252770489/550144842789780 |
j-invariant |
L |
7.2062209073438 |
L(r)(E,1)/r! |
Ω |
0.078785899320341 |
Real period |
R |
1.5244311840716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830a3 115920et4 |
Quadratic twists by: -4 -3 |