Atkin-Lehner |
2+ 3+ 5- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570g |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1245184 |
Modular degree for the optimal curve |
Δ |
76808163852922500 = 22 · 33 · 54 · 198 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-263259,50317265] |
[a1,a2,a3,a4,a6] |
Generators |
[-571:4057:1] [-229:10042:1] |
Generators of the group modulo torsion |
j |
74732680157358500523/2844746809367500 |
j-invariant |
L |
8.7288655655526 |
L(r)(E,1)/r! |
Ω |
0.3411813260464 |
Real period |
R |
0.79950755840523 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570bd1 |
Quadratic twists by: -3 |