Atkin-Lehner |
2+ 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30360n |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
119082816657699840 = 210 · 33 · 5 · 11 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-124960,-3705232] |
[a1,a2,a3,a4,a6] |
Generators |
[21441:538966:27] |
Generators of the group modulo torsion |
j |
210736751217759364/116291813142285 |
j-invariant |
L |
7.3911600281977 |
L(r)(E,1)/r! |
Ω |
0.27177821138144 |
Real period |
R |
9.0651858987381 |
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 |
60720j3 91080bq3 |
Quadratic twists by: -4 -3 |