Atkin-Lehner |
2+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76874m |
Isogeny class |
Conductor |
76874 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
514080 |
Modular degree for the optimal curve |
Δ |
-3800169429618688 = -1 · 212 · 7 · 178 · 19 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 2 1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-141760,-20815872] |
[a1,a2,a3,a4,a6] |
Generators |
[28605102518920064448:1070831707655325379392:18590039100150643] |
Generators of the group modulo torsion |
j |
-45164607625/544768 |
j-invariant |
L |
7.466012105521 |
L(r)(E,1)/r! |
Ω |
0.12293309148675 |
Real period |
R |
30.366161036166 |
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 |
76874b1 |
Quadratic twists by: 17 |