Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
39900h |
Isogeny class |
Conductor |
39900 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
81240270300000000 = 28 · 38 · 58 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1130508,-462076488] |
[a1,a2,a3,a4,a6] |
Generators |
[-622:266:1] |
Generators of the group modulo torsion |
j |
39947078668956496/20310067575 |
j-invariant |
L |
4.1914145027634 |
L(r)(E,1)/r! |
Ω |
0.14641796459734 |
Real period |
R |
1.5903537650234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119700be2 7980f2 |
Quadratic twists by: -3 5 |