Atkin-Lehner |
3+ 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11505b |
Isogeny class |
Conductor |
11505 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-360739493595 = -1 · 313 · 5 · 13 · 592 |
Discriminant |
Eigenvalues |
0 3+ 5- 1 -3 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2015,45923] |
[a1,a2,a3,a4,a6] |
Generators |
[13:147:1] |
Generators of the group modulo torsion |
j |
-905241335136256/360739493595 |
j-invariant |
L |
3.2156609724211 |
L(r)(E,1)/r! |
Ω |
0.89741816306814 |
Real period |
R |
1.7916179462132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34515g1 57525g1 |
Quadratic twists by: -3 5 |