Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200cz |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-37600000000000 = -1 · 214 · 511 · 47 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10533,-506563] |
[a1,a2,a3,a4,a6] |
Generators |
[33821772:484094375:132651] |
Generators of the group modulo torsion |
j |
-504871936/146875 |
j-invariant |
L |
9.2852215434818 |
L(r)(E,1)/r! |
Ω |
0.23214040128259 |
Real period |
R |
9.9995751401494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200m1 18800f1 15040z1 |
Quadratic twists by: -4 8 5 |