Atkin-Lehner |
2+ 5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
52520f |
Isogeny class |
Conductor |
52520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
6827600 = 24 · 52 · 132 · 101 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55,78] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:13:1] [-3:15:1] |
Generators of the group modulo torsion |
j |
1171019776/426725 |
j-invariant |
L |
6.5118375484194 |
L(r)(E,1)/r! |
Ω |
2.1658511693657 |
Real period |
R |
1.5032975581439 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105040g1 |
Quadratic twists by: -4 |