Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27450s |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2779312500000 = -1 · 25 · 36 · 59 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 -1 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7917,284741] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-137:1] |
Generators of the group modulo torsion |
j |
-4818245769/244000 |
j-invariant |
L |
3.9638523468532 |
L(r)(E,1)/r! |
Ω |
0.7973106600581 |
Real period |
R |
1.2428820237285 |
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 |
3050i1 5490v1 |
Quadratic twists by: -3 5 |