Atkin-Lehner |
2- 3- 5+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
108630o |
Isogeny class |
Conductor |
108630 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
389120 |
Modular degree for the optimal curve |
Δ |
-353310267279600 = -1 · 24 · 316 · 52 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10733,-997819] |
[a1,a2,a3,a4,a6] |
Generators |
[165:1222:1] |
Generators of the group modulo torsion |
j |
-187551972848521/484650572400 |
j-invariant |
L |
10.652982052549 |
L(r)(E,1)/r! |
Ω |
0.21815484071535 |
Real period |
R |
3.0520128630008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999743949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36210l1 |
Quadratic twists by: -3 |