Atkin-Lehner |
2- 3- 37+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
35298h |
Isogeny class |
Conductor |
35298 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
433664 |
Modular degree for the optimal curve |
Δ |
-518124781124315136 = -1 · 211 · 320 · 372 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 3 4 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46112,-34829373] |
[a1,a2,a3,a4,a6] |
j |
-14874049811900089/710733581789184 |
j-invariant |
L |
5.6552235852776 |
L(r)(E,1)/r! |
Ω |
0.12852780875661 |
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 |
11766a1 |
Quadratic twists by: -3 |