Atkin-Lehner |
5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12635d |
Isogeny class |
Conductor |
12635 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
5097191857680125 = 53 · 74 · 198 |
Discriminant |
Eigenvalues |
2 2 5- 7- -5 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-43440,602131] |
[a1,a2,a3,a4,a6] |
Generators |
[2650:37901:8] |
Generators of the group modulo torsion |
j |
533794816/300125 |
j-invariant |
L |
12.734223995109 |
L(r)(E,1)/r! |
Ω |
0.37213557585324 |
Real period |
R |
0.95053649062588 |
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 |
113715r1 63175c1 88445l1 12635j1 |
Quadratic twists by: -3 5 -7 -19 |