Atkin-Lehner |
2+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200i |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
15400960000000 = 222 · 57 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 5 -1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17633,887137] |
[a1,a2,a3,a4,a6] |
Generators |
[47:400:1] |
Generators of the group modulo torsion |
j |
148035889/3760 |
j-invariant |
L |
5.9976418484028 |
L(r)(E,1)/r! |
Ω |
0.69748963830753 |
Real period |
R |
2.1497243539853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200cv1 2350a1 15040r1 |
Quadratic twists by: -4 8 5 |