Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30420k |
Isogeny class |
Conductor |
30420 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-643192579570694400 = -1 · 28 · 36 · 52 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-420303,-111752602] |
[a1,a2,a3,a4,a6] |
Generators |
[10855178152:167442197715:12487168] |
Generators of the group modulo torsion |
j |
-9115564624/714025 |
j-invariant |
L |
5.0605489663015 |
L(r)(E,1)/r! |
Ω |
0.093332328421606 |
Real period |
R |
13.555187821528 |
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 |
121680dp2 3380h2 2340g2 |
Quadratic twists by: -4 -3 13 |