Atkin-Lehner |
2+ 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802s |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
249902972928 = 214 · 36 · 73 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -3 -2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15171,-715051] |
[a1,a2,a3,a4,a6] |
Generators |
[-1950:1039:27] |
Generators of the group modulo torsion |
j |
1544403549879/999424 |
j-invariant |
L |
5.0950868747472 |
L(r)(E,1)/r! |
Ω |
0.43019120795611 |
Real period |
R |
2.9609431692955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999858 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5978k1 53802be1 |
Quadratic twists by: -3 -7 |