Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200dk |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-452403200000000 = -1 · 219 · 58 · 472 |
Discriminant |
Eigenvalues |
2- -1 5- 4 1 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19167,-70463] |
[a1,a2,a3,a4,a6] |
Generators |
[1117:37600:1] |
Generators of the group modulo torsion |
j |
7604375/4418 |
j-invariant |
L |
5.6480257508397 |
L(r)(E,1)/r! |
Ω |
0.31246203916997 |
Real period |
R |
0.75316159013226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200bv1 18800bj1 75200cw1 |
Quadratic twists by: -4 8 5 |