Atkin-Lehner |
2+ 3+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
25254c |
Isogeny class |
Conductor |
25254 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-3485052 = -1 · 22 · 33 · 232 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42,-128] |
[a1,a2,a3,a4,a6] |
Generators |
[11:20:1] |
Generators of the group modulo torsion |
j |
-307546875/129076 |
j-invariant |
L |
3.9298447868664 |
L(r)(E,1)/r! |
Ω |
0.91779724860484 |
Real period |
R |
2.1409111831836 |
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 |
25254l1 |
Quadratic twists by: -3 |