Atkin-Lehner |
2- 3+ 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124020c |
Isogeny class |
Conductor |
124020 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1128324038400 = 28 · 39 · 52 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7047,221886] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:270:1] |
Generators of the group modulo torsion |
j |
7680778992/223925 |
j-invariant |
L |
8.2235697802114 |
L(r)(E,1)/r! |
Ω |
0.86575386222396 |
Real period |
R |
1.5831231234533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124020a2 |
Quadratic twists by: -3 |