Atkin-Lehner |
2+ 3- 5+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
93330o |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
805376 |
Modular degree for the optimal curve |
Δ |
-6856619470387200 = -1 · 211 · 317 · 52 · 17 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 3 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12420,-4016304] |
[a1,a2,a3,a4,a6] |
j |
-290656902035521/9405513676800 |
j-invariant |
L |
0.73242623700442 |
L(r)(E,1)/r! |
Ω |
0.18310656761589 |
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 |
31110z1 |
Quadratic twists by: -3 |