Atkin-Lehner |
2+ 3+ 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130s |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
38016000 |
Modular degree for the optimal curve |
Δ |
-2.2479561043108E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-99771277,-446326175651] |
[a1,a2,a3,a4,a6] |
Generators |
[386891987:33979435634:24389] |
Generators of the group modulo torsion |
j |
-933581144219651301551689/191073116160000000000 |
j-invariant |
L |
5.0010879793747 |
L(r)(E,1)/r! |
Ω |
0.023624697939046 |
Real period |
R |
10.58444852804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2370c1 |
Quadratic twists by: -7 |