Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11830n |
Isogeny class |
Conductor |
11830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-351391695200 = -1 · 25 · 52 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- -3 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5524,161968] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:424:1] |
Generators of the group modulo torsion |
j |
-3862503009/72800 |
j-invariant |
L |
2.0725830799586 |
L(r)(E,1)/r! |
Ω |
0.95898854191384 |
Real period |
R |
0.27015222150392 |
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 |
94640cm1 106470et1 59150bm1 82810r1 |
Quadratic twists by: -4 -3 5 -7 |