Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450z |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
364800 |
Modular degree for the optimal curve |
Δ |
-8538048000000000 = -1 · 215 · 37 · 59 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -4 5 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-246492,47374416] |
[a1,a2,a3,a4,a6] |
Generators |
[319:903:1] |
Generators of the group modulo torsion |
j |
-1163256858413/5996544 |
j-invariant |
L |
4.7739702127406 |
L(r)(E,1)/r! |
Ω |
0.41520250366238 |
Real period |
R |
2.8744830357662 |
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 |
9150z1 27450cd1 |
Quadratic twists by: -3 5 |