Atkin-Lehner |
2- 3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450ch |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-10231200000000 = -1 · 211 · 32 · 58 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4362,108531] |
[a1,a2,a3,a4,a6] |
Generators |
[85:1007:1] |
Generators of the group modulo torsion |
j |
23497109375/26191872 |
j-invariant |
L |
7.0304584312493 |
L(r)(E,1)/r! |
Ω |
0.48104364773364 |
Real period |
R |
0.11071978389595 |
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 |
91350ck1 30450ba1 |
Quadratic twists by: -3 5 |