Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200ca |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
176464656000000000 = 213 · 38 · 59 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-561008,-160279488] |
[a1,a2,a3,a4,a6] |
Generators |
[-422:1066:1] |
Generators of the group modulo torsion |
j |
305106651317161/2757260250 |
j-invariant |
L |
4.3255049658861 |
L(r)(E,1)/r! |
Ω |
0.17453963743433 |
Real period |
R |
3.0977955992356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6150bd2 9840ba2 |
Quadratic twists by: -4 5 |