Atkin-Lehner |
2+ 3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450bp |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
383040 |
Modular degree for the optimal curve |
Δ |
-2075509063680000 = -1 · 219 · 3 · 54 · 133 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 13- 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40001,-3783052] |
[a1,a2,a3,a4,a6] |
Generators |
[34122:1179634:27] |
Generators of the group modulo torsion |
j |
-11325063173760025/3320814501888 |
j-invariant |
L |
5.9888834145954 |
L(r)(E,1)/r! |
Ω |
0.16627667935196 |
Real period |
R |
6.0029298133504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60450bv1 |
Quadratic twists by: 5 |