Atkin-Lehner |
2- 3- 5+ 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119970bs |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
5184000 |
Modular degree for the optimal curve |
Δ |
-2.0868322673295E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 5 -2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2665013,1813720781] |
[a1,a2,a3,a4,a6] |
Generators |
[607:20176:1] |
Generators of the group modulo torsion |
j |
-2871402185724365320201/286259570278400000 |
j-invariant |
L |
8.6607575689124 |
L(r)(E,1)/r! |
Ω |
0.17359948716014 |
Real period |
R |
1.3858140007488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999711992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13330b1 |
Quadratic twists by: -3 |