Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800co |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-60874035200 = -1 · 212 · 52 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 11- -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,725,-9190] |
[a1,a2,a3,a4,a6] |
j |
411564375/594473 |
j-invariant |
L |
7.0593068421787 |
L(r)(E,1)/r! |
Ω |
0.58827557216284 |
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 |
4675i1 74800de1 |
Quadratic twists by: -4 5 |