Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200dd |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
5875000000 = 26 · 59 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- 1 1 -3 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1208,15338] |
[a1,a2,a3,a4,a6] |
Generators |
[17:2:1] |
Generators of the group modulo torsion |
j |
1560896/47 |
j-invariant |
L |
7.6772809818641 |
L(r)(E,1)/r! |
Ω |
1.3412066118939 |
Real period |
R |
2.8620799034649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200dx1 37600n1 75200dw1 |
Quadratic twists by: -4 8 5 |