Atkin-Lehner |
2- 3+ 5- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60030ba |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
1800900 = 22 · 33 · 52 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32,31] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:47:8] |
Generators of the group modulo torsion |
j |
130323843/66700 |
j-invariant |
L |
11.175046830353 |
L(r)(E,1)/r! |
Ω |
2.3327088917481 |
Real period |
R |
2.3952939155166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60030b1 |
Quadratic twists by: -3 |