Atkin-Lehner |
3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35739f |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
456000 |
Modular degree for the optimal curve |
Δ |
-1403167763205154683 = -1 · 33 · 115 · 199 |
Discriminant |
Eigenvalues |
0 3+ -2 2 11- 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-164616,-62521500] |
[a1,a2,a3,a4,a6] |
j |
-56623104/161051 |
j-invariant |
L |
2.1959148304779 |
L(r)(E,1)/r! |
Ω |
0.10979574152279 |
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 |
35739a1 35739g1 |
Quadratic twists by: -3 -19 |