Atkin-Lehner |
2- 3- 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64890by |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-188335207710720 = -1 · 215 · 313 · 5 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -6 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12442,-391179] |
[a1,a2,a3,a4,a6] |
Generators |
[233:3771:1] |
Generators of the group modulo torsion |
j |
292212976706279/258347335680 |
j-invariant |
L |
6.83954013977 |
L(r)(E,1)/r! |
Ω |
0.31202563485152 |
Real period |
R |
0.36533003358886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21630a1 |
Quadratic twists by: -3 |