Atkin-Lehner |
2+ 3+ 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
25254a |
Isogeny class |
Conductor |
25254 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
1809792958464 = 216 · 39 · 23 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3093,-13195] |
[a1,a2,a3,a4,a6] |
Generators |
[733:19411:1] |
Generators of the group modulo torsion |
j |
166284266499/91947008 |
j-invariant |
L |
3.417327841563 |
L(r)(E,1)/r! |
Ω |
0.68552443257701 |
Real period |
R |
4.9849832904083 |
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 |
25254n1 |
Quadratic twists by: -3 |