Atkin-Lehner |
2+ 3- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370bn |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-1598100716462040000 = -1 · 26 · 314 · 54 · 76 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-240469,75870176] |
[a1,a2,a3,a4,a6] |
Generators |
[43:8078:1] |
Generators of the group modulo torsion |
j |
-13071040729863481/13583631960000 |
j-invariant |
L |
4.4689328048528 |
L(r)(E,1)/r! |
Ω |
0.24288001372004 |
Real period |
R |
0.65713411176971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2130c1 |
Quadratic twists by: -7 |