Atkin-Lehner |
2- 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52700i |
Isogeny class |
Conductor |
52700 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
98880 |
Modular degree for the optimal curve |
Δ |
1408498144000 = 28 · 53 · 175 · 31 |
Discriminant |
Eigenvalues |
2- -1 5- -4 -2 -3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14468,672232] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:850:1] [-67:1156:1] |
Generators of the group modulo torsion |
j |
10467169363856/44015567 |
j-invariant |
L |
6.9365861928031 |
L(r)(E,1)/r! |
Ω |
0.85764551120448 |
Real period |
R |
0.26959802941837 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52700g1 |
Quadratic twists by: 5 |