Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
12792d |
Isogeny class |
Conductor |
12792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
132627456 = 210 · 35 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 5 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-144,-324] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:4:1] |
Generators of the group modulo torsion |
j |
324730948/129519 |
j-invariant |
L |
4.4454607311535 |
L(r)(E,1)/r! |
Ω |
1.4256392135685 |
Real period |
R |
1.5591114108127 |
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 |
25584h1 102336bk1 38376f1 |
Quadratic twists by: -4 8 -3 |