Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450b |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-31395937500 = -1 · 22 · 33 · 57 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3042,-64384] |
[a1,a2,a3,a4,a6] |
Generators |
[70:214:1] |
Generators of the group modulo torsion |
j |
-7380705123/74420 |
j-invariant |
L |
4.7871840905736 |
L(r)(E,1)/r! |
Ω |
0.32122695798853 |
Real period |
R |
3.7257023200591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27450be1 5490o1 |
Quadratic twists by: -3 5 |