Atkin-Lehner |
2- 5- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34850bb |
Isogeny class |
Conductor |
34850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
614880 |
Modular degree for the optimal curve |
Δ |
-281419925758045000 = -1 · 23 · 54 · 172 · 417 |
Discriminant |
Eigenvalues |
2- -2 5- 5 2 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,60962,24862092] |
[a1,a2,a3,a4,a6] |
j |
40088598111570575/450271881212872 |
j-invariant |
L |
4.0948865649571 |
L(r)(E,1)/r! |
Ω |
0.22749369805266 |
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 |
34850b1 |
Quadratic twists by: 5 |