Atkin-Lehner |
3+ 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
9435b |
Isogeny class |
Conductor |
9435 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
-19105875 = -1 · 35 · 53 · 17 · 37 |
Discriminant |
Eigenvalues |
2 3+ 5+ -1 -3 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-76,357] |
[a1,a2,a3,a4,a6] |
j |
-49188818944/19105875 |
j-invariant |
L |
2.0402612122391 |
L(r)(E,1)/r! |
Ω |
2.0402612122391 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28305n1 47175n1 |
Quadratic twists by: -3 5 |