Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30528bk |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-7283414466035712 = -1 · 226 · 36 · 533 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14171340,-20533571696] |
[a1,a2,a3,a4,a6] |
Generators |
[413229423747072258868243758:-192300659108104701458147837440:1907568396044352157823] |
Generators of the group modulo torsion |
j |
-1646982616152408625/38112512 |
j-invariant |
L |
6.457920381848 |
L(r)(E,1)/r! |
Ω |
0.038906022083261 |
Real period |
R |
41.496920245584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30528g2 7632m2 3392p2 |
Quadratic twists by: -4 8 -3 |