Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200g |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13616100000000 = 28 · 34 · 58 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12508,512512] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:936:1] [-48:1000:1] |
Generators of the group modulo torsion |
j |
54108072016/3404025 |
j-invariant |
L |
8.2289413481414 |
L(r)(E,1)/r! |
Ω |
0.69426999297854 |
Real period |
R |
5.9263265238055 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24600q2 9840j2 |
Quadratic twists by: -4 5 |