Atkin-Lehner |
2+ 3- 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
62118n |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-1089264038821056 = -1 · 26 · 310 · 7 · 175 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -3 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9261,1626853] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:-1297:1] [-126:947:1] |
Generators of the group modulo torsion |
j |
-120502543701457/1494189353664 |
j-invariant |
L |
6.0643887509887 |
L(r)(E,1)/r! |
Ω |
0.41626762293317 |
Real period |
R |
0.72842426565159 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20706q1 |
Quadratic twists by: -3 |