Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200dj |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
6160384000 = 220 · 53 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- -3 -3 1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-248193,47674657] |
[a1,a2,a3,a4,a6] |
Generators |
[277:320:1] |
Generators of the group modulo torsion |
j |
51599335959989/188 |
j-invariant |
L |
2.9928314015149 |
L(r)(E,1)/r! |
Ω |
0.8966158297809 |
Real period |
R |
0.41723992911239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200bt1 18800bi1 75200du1 |
Quadratic twists by: -4 8 5 |