Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
510d |
Isogeny class |
Conductor |
510 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
15667200 = 212 · 32 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-101,299] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:28:1] |
Generators of the group modulo torsion |
j |
114013572049/15667200 |
j-invariant |
L |
2.1812264076948 |
L(r)(E,1)/r! |
Ω |
2.1234819094508 |
Real period |
R |
0.34239776943504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4080bb1 16320bn1 1530f1 2550k1 |
Quadratic twists by: -4 8 -3 5 |