Atkin-Lehner |
5+ 13+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
104975c |
Isogeny class |
Conductor |
104975 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
19787339716015625 = 58 · 134 · 173 · 192 |
Discriminant |
Eigenvalues |
-1 0 5+ -2 2 13+ 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-90730,8075272] |
[a1,a2,a3,a4,a6] |
Generators |
[-236:4155:1] [-161:4380:1] |
Generators of the group modulo torsion |
j |
5286301525442601/1266389741825 |
j-invariant |
L |
6.7589953419769 |
L(r)(E,1)/r! |
Ω |
0.36180056873651 |
Real period |
R |
3.1135916331625 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20995c1 |
Quadratic twists by: 5 |