Atkin-Lehner |
3+ 5+ 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
35535a |
Isogeny class |
Conductor |
35535 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
478464 |
Modular degree for the optimal curve |
Δ |
94866998291015625 = 38 · 514 · 23 · 103 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 0 6 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-297771,-60885096] |
[a1,a2,a3,a4,a6] |
j |
2919920327586396199729/94866998291015625 |
j-invariant |
L |
1.8430453834893 |
L(r)(E,1)/r! |
Ω |
0.20478282038586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106605f1 |
Quadratic twists by: -3 |