Atkin-Lehner |
2- 5+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12410m |
Isogeny class |
Conductor |
12410 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
21603328000 = 213 · 53 · 172 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 5 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9026,326223] |
[a1,a2,a3,a4,a6] |
Generators |
[49:43:1] |
Generators of the group modulo torsion |
j |
81322871837737249/21603328000 |
j-invariant |
L |
5.6492295236753 |
L(r)(E,1)/r! |
Ω |
1.1803315383853 |
Real period |
R |
0.18408222735464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99280o1 111690m1 62050b1 |
Quadratic twists by: -4 -3 5 |