Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450cd |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
46939626562500 = 22 · 36 · 58 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16188,-727719] |
[a1,a2,a3,a4,a6] |
Generators |
[-530:2211:8] |
Generators of the group modulo torsion |
j |
30025133704441/3004136100 |
j-invariant |
L |
7.2386508066196 |
L(r)(E,1)/r! |
Ω |
0.42598191799109 |
Real period |
R |
4.2482148307824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91350cb2 6090n2 |
Quadratic twists by: -3 5 |