Atkin-Lehner |
2- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600bi |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-11504391500000000 = -1 · 28 · 59 · 75 · 372 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 1 -5 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-255533,-50070937] |
[a1,a2,a3,a4,a6] |
Generators |
[4778:328375:1] |
Generators of the group modulo torsion |
j |
-461324374319104/2876097875 |
j-invariant |
L |
6.6382719868574 |
L(r)(E,1)/r! |
Ω |
0.10613187855557 |
Real period |
R |
3.9092118656607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25900d1 20720j1 |
Quadratic twists by: -4 5 |