Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
60300t |
Isogeny class |
Conductor |
60300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1785600 |
Modular degree for the optimal curve |
Δ |
-288413030700000000 = -1 · 28 · 316 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4764000,-4002347500] |
[a1,a2,a3,a4,a6] |
Generators |
[1181953273325:103920488112825:141420761] |
Generators of the group modulo torsion |
j |
-164025527173120/3956283 |
j-invariant |
L |
5.6526131919904 |
L(r)(E,1)/r! |
Ω |
0.051094716324554 |
Real period |
R |
18.438348745902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20100e1 60300d1 |
Quadratic twists by: -3 5 |