Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27450u |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-2026118812500 = -1 · 22 · 312 · 56 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1017,-69359] |
[a1,a2,a3,a4,a6] |
Generators |
[50:29:1] |
Generators of the group modulo torsion |
j |
-10218313/177876 |
j-invariant |
L |
4.1757377999955 |
L(r)(E,1)/r! |
Ω |
0.35601381094853 |
Real period |
R |
2.9322863829847 |
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 |
9150s1 1098l1 |
Quadratic twists by: -3 5 |