Atkin-Lehner |
2+ 3+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
25398b |
Isogeny class |
Conductor |
25398 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-2590596 = -1 · 22 · 33 · 172 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -3 0 1 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9,-79] |
[a1,a2,a3,a4,a6] |
Generators |
[4:1:1] [5:6:1] |
Generators of the group modulo torsion |
j |
2803221/95948 |
j-invariant |
L |
5.129073075807 |
L(r)(E,1)/r! |
Ω |
1.2351824802842 |
Real period |
R |
0.51906025604265 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25398h1 |
Quadratic twists by: -3 |