Atkin-Lehner |
3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25389f |
Isogeny class |
Conductor |
25389 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-3700365073587 = -1 · 38 · 72 · 135 · 31 |
Discriminant |
Eigenvalues |
0 3- 0 7+ -3 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2220,83335] |
[a1,a2,a3,a4,a6] |
Generators |
[1:292:1] [53:591:1] |
Generators of the group modulo torsion |
j |
1659797504000/5075946603 |
j-invariant |
L |
6.5856230516762 |
L(r)(E,1)/r! |
Ω |
0.55534678162089 |
Real period |
R |
0.59292889322733 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8463b1 |
Quadratic twists by: -3 |