Atkin-Lehner |
3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60333c |
Isogeny class |
Conductor |
60333 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1220736 |
Modular degree for the optimal curve |
Δ |
-2.5442660655336E+19 |
Discriminant |
Eigenvalues |
0 3+ -1 7- -3 13+ 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,602429,162602403] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:12680:1] |
Generators of the group modulo torsion |
j |
5009339741732864/5271114033171 |
j-invariant |
L |
3.0279252423149 |
L(r)(E,1)/r! |
Ω |
0.14033386499873 |
Real period |
R |
5.3941456724852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
357a1 |
Quadratic twists by: 13 |