Atkin-Lehner |
2+ 3- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
72216g |
Isogeny class |
Conductor |
72216 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-12804988872305664 = -1 · 210 · 36 · 174 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 -2 6 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,58389,387542] |
[a1,a2,a3,a4,a6] |
j |
29490989143388/17153459459 |
j-invariant |
L |
5.7769108522681 |
L(r)(E,1)/r! |
Ω |
0.2407046180432 |
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 |
8024k1 |
Quadratic twists by: -3 |