Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450ba |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-654796800 = -1 · 211 · 32 · 52 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 0 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,174,868] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:12:1] |
Generators of the group modulo torsion |
j |
23497109375/26191872 |
j-invariant |
L |
5.1985967811615 |
L(r)(E,1)/r! |
Ω |
1.0756462964769 |
Real period |
R |
1.2082495886865 |
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 |
91350es1 30450ch1 |
Quadratic twists by: -3 5 |