Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76874bb |
Isogeny class |
Conductor |
76874 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
-293149466624 = -1 · 213 · 73 · 172 · 192 |
Discriminant |
Eigenvalues |
2- -1 -1 7- -2 -3 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4256,108225] |
[a1,a2,a3,a4,a6] |
Generators |
[9:261:1] |
Generators of the group modulo torsion |
j |
-29501024951521/1014358016 |
j-invariant |
L |
6.1125534691666 |
L(r)(E,1)/r! |
Ω |
0.96728363720795 |
Real period |
R |
0.081016639891392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76874z1 |
Quadratic twists by: 17 |