Atkin-Lehner |
2+ 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35376h |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-575956656 = -1 · 24 · 36 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ -4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-599,-5964] |
[a1,a2,a3,a4,a6] |
j |
-1488020887552/35997291 |
j-invariant |
L |
1.4452825895935 |
L(r)(E,1)/r! |
Ω |
0.48176086319626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17688c1 106128n1 |
Quadratic twists by: -4 -3 |