Atkin-Lehner |
2- 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
35550bi |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-353384792064000 = -1 · 224 · 33 · 53 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 2 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1617920,-791702493] |
[a1,a2,a3,a4,a6] |
j |
-138778060627787972607/104706605056 |
j-invariant |
L |
3.2127100866492 |
L(r)(E,1)/r! |
Ω |
0.066931460138372 |
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 |
35550h1 35550g1 |
Quadratic twists by: -3 5 |