Atkin-Lehner |
2- 3+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450ci |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-830703445416000 = -1 · 26 · 32 · 53 · 13 · 316 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12877,1272881] |
[a1,a2,a3,a4,a6] |
Generators |
[169:-2968:1] |
Generators of the group modulo torsion |
j |
1889103176585659/6645627563328 |
j-invariant |
L |
5.8290297275169 |
L(r)(E,1)/r! |
Ω |
0.35581452745801 |
Real period |
R |
0.45506149955202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000222 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60450bl2 |
Quadratic twists by: 5 |