Atkin-Lehner |
2+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
49400g |
Isogeny class |
Conductor |
49400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-30138446000 = -1 · 24 · 53 · 133 · 193 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 2 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,57,8332] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-95:1] |
Generators of the group modulo torsion |
j |
10061824/15069223 |
j-invariant |
L |
4.2464744888485 |
L(r)(E,1)/r! |
Ω |
0.92070239698765 |
Real period |
R |
0.38435098597155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800s1 49400bc1 |
Quadratic twists by: -4 5 |