Atkin-Lehner |
2+ 3- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
116130bs |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1103872 |
Modular degree for the optimal curve |
Δ |
11752003410739200 = 214 · 32 · 52 · 79 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-112383,13521106] |
[a1,a2,a3,a4,a6] |
Generators |
[320:3057:1] |
Generators of the group modulo torsion |
j |
3889893045583/291225600 |
j-invariant |
L |
6.9898067851099 |
L(r)(E,1)/r! |
Ω |
0.39366256731066 |
Real period |
R |
4.4389582355192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116130g1 |
Quadratic twists by: -7 |