Atkin-Lehner |
3+ 5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
95325i |
Isogeny class |
Conductor |
95325 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-13520361796875 = -1 · 34 · 57 · 31 · 413 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -5 -1 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,992,-176832] |
[a1,a2,a3,a4,a6] |
Generators |
[277:-4613:1] [102:987:1] |
Generators of the group modulo torsion |
j |
6902411264/865303155 |
j-invariant |
L |
3.7054604125591 |
L(r)(E,1)/r! |
Ω |
0.33462258970333 |
Real period |
R |
0.4613979707831 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19065n1 |
Quadratic twists by: 5 |