Atkin-Lehner |
3- 5- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28365h |
Isogeny class |
Conductor |
28365 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
2907855703125 = 39 · 57 · 31 · 61 |
Discriminant |
Eigenvalues |
0 3- 5- -1 -2 -5 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6325,173281] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:-563:1] |
Generators of the group modulo torsion |
j |
27988135191248896/2907855703125 |
j-invariant |
L |
4.9686498798743 |
L(r)(E,1)/r! |
Ω |
0.77960861538506 |
Real period |
R |
0.10116288719019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85095g1 |
Quadratic twists by: -3 |