Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200bz |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-96256000 = -1 · 214 · 53 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -6 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,107,243] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5:1] |
Generators of the group modulo torsion |
j |
65536/47 |
j-invariant |
L |
3.8181413545013 |
L(r)(E,1)/r! |
Ω |
1.2055945941029 |
Real period |
R |
1.5835096537222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200dm1 4700m1 75200bl1 |
Quadratic twists by: -4 8 5 |