Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
60300d |
Isogeny class |
Conductor |
60300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
357120 |
Modular degree for the optimal curve |
Δ |
-18458433964800 = -1 · 28 · 316 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 -2 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-190560,-32018780] |
[a1,a2,a3,a4,a6] |
Generators |
[1421:50661:1] |
Generators of the group modulo torsion |
j |
-164025527173120/3956283 |
j-invariant |
L |
4.3349996369733 |
L(r)(E,1)/r! |
Ω |
0.11425125899277 |
Real period |
R |
6.3237809884941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20100g1 60300t1 |
Quadratic twists by: -3 5 |