Atkin-Lehner |
2+ 3- 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
62118s |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-493092684 = -1 · 22 · 36 · 73 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -3 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2490,48464] |
[a1,a2,a3,a4,a6] |
Generators |
[22:52:1] [-41:304:1] |
Generators of the group modulo torsion |
j |
-2342568667041/676396 |
j-invariant |
L |
7.1914119089383 |
L(r)(E,1)/r! |
Ω |
1.619645621623 |
Real period |
R |
0.37000953649623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6902d1 |
Quadratic twists by: -3 |