Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800r |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
2884201250000 = 24 · 57 · 74 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-99783,12165062] |
[a1,a2,a3,a4,a6] |
Generators |
[6114:28700:27] |
Generators of the group modulo torsion |
j |
439498833516544/11536805 |
j-invariant |
L |
11.346315586411 |
L(r)(E,1)/r! |
Ω |
0.74626013956123 |
Real period |
R |
3.8010591023329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43400n1 17360a1 |
Quadratic twists by: -4 5 |