Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30360be |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-82126107360000 = -1 · 28 · 36 · 54 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1924,-434160] |
[a1,a2,a3,a4,a6] |
Generators |
[142:-1650:1] |
Generators of the group modulo torsion |
j |
3075198864176/320805106875 |
j-invariant |
L |
5.879290913049 |
L(r)(E,1)/r! |
Ω |
0.28848736168069 |
Real period |
R |
0.28305163096598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60720a2 91080s2 |
Quadratic twists by: -4 -3 |