Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200de |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
376000 = 26 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- 1 -1 3 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48,-142] |
[a1,a2,a3,a4,a6] |
Generators |
[13:40:1] |
Generators of the group modulo torsion |
j |
1560896/47 |
j-invariant |
L |
7.4281729750637 |
L(r)(E,1)/r! |
Ω |
1.8140025222228 |
Real period |
R |
2.0474538714264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001695 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200dw1 37600d1 75200dx1 |
Quadratic twists by: -4 8 5 |