Atkin-Lehner |
2+ 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130c |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-19894462916751360 = -1 · 212 · 33 · 5 · 78 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-75828,-10550448] |
[a1,a2,a3,a4,a6] |
Generators |
[584:11740:1] [2729:140466:1] |
Generators of the group modulo torsion |
j |
-409857819530041/169100144640 |
j-invariant |
L |
7.4763528711744 |
L(r)(E,1)/r! |
Ω |
0.14099642445891 |
Real period |
R |
26.512561930926 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590k1 |
Quadratic twists by: -7 |