Atkin-Lehner |
2- 3- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450cv |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
2546154000 = 24 · 35 · 53 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-698,6612] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:124:1] |
Generators of the group modulo torsion |
j |
300897690101/20369232 |
j-invariant |
L |
12.670664358135 |
L(r)(E,1)/r! |
Ω |
1.4174289968996 |
Real period |
R |
0.44695940275446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60450bb1 |
Quadratic twists by: 5 |