Atkin-Lehner |
2- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37700d |
Isogeny class |
Conductor |
37700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
7540000000 = 28 · 57 · 13 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 0 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-533,-2063] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:50:1] |
Generators of the group modulo torsion |
j |
4194304/1885 |
j-invariant |
L |
3.4539508895042 |
L(r)(E,1)/r! |
Ω |
1.0361273458414 |
Real period |
R |
0.27779330595536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7540b1 |
Quadratic twists by: 5 |