Atkin-Lehner |
2+ 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350x |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-7.0701363856058E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11+ 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-916542,1323358366] |
[a1,a2,a3,a4,a6] |
j |
-7475384530020889/62069784455250 |
j-invariant |
L |
0.55068170914115 |
L(r)(E,1)/r! |
Ω |
0.13767042931969 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450bu1 12870cb1 |
Quadratic twists by: -3 5 |