Atkin-Lehner |
3- 5+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
60255b |
Isogeny class |
Conductor |
60255 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
-63448515 = -1 · 36 · 5 · 132 · 103 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 0 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-473,4092] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-13:1] |
Generators of the group modulo torsion |
j |
-16022066761/87035 |
j-invariant |
L |
3.053561716412 |
L(r)(E,1)/r! |
Ω |
1.9755837489235 |
Real period |
R |
0.77282517585732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6695a1 |
Quadratic twists by: -3 |