Atkin-Lehner |
2- 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450cn |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
4456857600000000 = 220 · 33 · 58 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-150213,22164417] |
[a1,a2,a3,a4,a6] |
Generators |
[282:1359:1] |
Generators of the group modulo torsion |
j |
23989788887201929/285238886400 |
j-invariant |
L |
12.285283544501 |
L(r)(E,1)/r! |
Ω |
0.43764231076896 |
Real period |
R |
0.46785861582108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090b1 |
Quadratic twists by: 5 |