Atkin-Lehner |
2+ 3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
60306j |
Isogeny class |
Conductor |
60306 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4173120 |
Modular degree for the optimal curve |
Δ |
-4.9743083789325E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -2 3 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2726236,-3810271078] |
[a1,a2,a3,a4,a6] |
Generators |
[4138:234083:1] |
Generators of the group modulo torsion |
j |
-184174848031360205375/408836063033819136 |
j-invariant |
L |
5.965516648844 |
L(r)(E,1)/r! |
Ω |
0.054978868762027 |
Real period |
R |
6.0280904110617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60306l1 |
Quadratic twists by: -23 |