Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200cy |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
146875000000 = 26 · 511 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 5 -5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1408,9062] |
[a1,a2,a3,a4,a6] |
Generators |
[187:2500:1] |
Generators of the group modulo torsion |
j |
308915776/146875 |
j-invariant |
L |
6.1671301537245 |
L(r)(E,1)/r! |
Ω |
0.91885995621731 |
Real period |
R |
1.6779298386165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200ce1 37600m1 15040v1 |
Quadratic twists by: -4 8 5 |