Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
62928bt |
Isogeny class |
Conductor |
62928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-12306847083264 = -1 · 28 · 314 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 3 -4 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696,-168932] |
[a1,a2,a3,a4,a6] |
Generators |
[62:162:1] |
Generators of the group modulo torsion |
j |
-199794688/65944611 |
j-invariant |
L |
7.2309563188163 |
L(r)(E,1)/r! |
Ω |
0.31905988706955 |
Real period |
R |
2.8329149995447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15732d1 20976l1 |
Quadratic twists by: -4 -3 |